The 37-year-old Ryder Cup star needs to finish in the top two to replace Tiger Woods as world number one but ended 10 shots off the pace at two under.
Rory McIlroy won the Honda Classic on Sunday by two strokes over Tiger Woods and journeyman Tom Gillis.
FORBES: Will Rory McIlroy Replace Tiger Woods As The Face Of Golf?
Westwood, needing to finish in the first two to dethrone Tiger Woods at the top of the world rankings, was 10 shots back after the second day.
Hedge fund guru closed his Tiger Fund after two years of losses, began returning cash to investors.
Vijay Singh carded a 69 and is among three players tied for second while Tiger Woods is two under after a 72.
The other two were Michael Jordan and Tiger Woods.
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Westwood, on the back of helping Europe to Ryder Cup glory on Monday, needs a top-two finish to usurp American Tiger Woods at the top of the rankings.
Muirfield Village was such a demanding test that Tiger Woods had two triple bogeys in the same tournament for the first time since 1997 and wound up with the second-highest tournament score in his career at 8-over 296.
When Nicklaus was Tiger's age, 32 years and two months, he's won 47 tournaments, 16 fewer than Tiger.
Miss Yates, 38, is also facing a possible custody battle over the future of Tiger Lily, her two-year-old daughter by rock star Michael Hutchence.
Only a handful of players made it out onto the course before play was suspended, with halfway leader Tiger Woods holding a two-shot advantage after 36 holes as he and most of the field waited for their new tee-off times.
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Europe's number one will leapfrog American Phil Mickelson to take the world number two spot next week - with only Tiger Woods standing between himself and the number one spot.
BBC: Ryder Cup 2010: Westwood aims to lead Europe by example
Westwood, who carded a two-under-par 70 at Kingsbarns to lie four off the lead, would usurp Tiger Woods as world number one with a top-two finish.
Tiger Woods is 32 years and two months old, and it is not too soon to start assessing his place in history.
It left him on the same mark as early starter Tiger Woods, who recovered from two over at the turn, to recover to level par.
The Northern Irishman won by one shot from France's Gregory Havret with Ernie Els two behind in third and Phil Mickelson and Tiger Woods tied fourth.
The top two golfers in the world, Rory McIlroy and Tiger Woods, have both spoken in favor of a ban.
CNN: Golf's major tours split over proposed belly putter ban
The top two golfers in the world, Rory McIlroy and Tiger Woods, have both spoke in favor of a ban.
CNN: Golf's major tours split over proposed belly putter ban
Lee has two best director Baftas already - one for Crouching Tiger, Hidden Dragon in 2001, and another for Brokeback Mountain in 2006.
Annika Sorenstam's career has run almost entirely parallel with that of U.S. golfing legend Tiger Woods, and comparisons between the two aren't without basis.
Golf's first major championship of the year gets underway today with Phil Mickelson defending the title he won a year ago, and most eyes on Tiger Woods, who won the last two majors of 2006.
Flipkart, an online-commerce site in India founded by two former Amazon employees, has received funding from Tiger Global, a New York-based hedge fund that specialises in this kind of investing, and Accel Partners, a venture-capital firm.
ECONOMIST: Making money by bringing old ideas to new markets
He still has some way to go to catch Tiger Woods, who has more than two million followers on both networking websites, but it could herald a brave new social media era for golf stars -- one which experts say may open the sport's doors to a previously ignored younger generation.
Coincidence that just two days after the official dissolution of her marriage to Tiger Woods, Elin finally speaks out?
Over the last 10 years, in the post-Michael Jordan era, two human sports brands have stood atop all others: Tiger Woods and Lance Armstrong.
For the first two rounds, PGA.com will follow the threesome of Tiger Woods, Vijay Singh and defending champion of the 2009 PGA Championship Y.
ENGADGET: 92nd PGA Championship loads up with HD, online, mobile and 3D video this weekend
Oz arrived at Hamilton Zoo from Auckland Zoo in 2013 to be matched up with a female tiger, Sali, who later gave birth to two cubs, according to TVNZ.
In the next two years the trust will focus on training frontline field staff in tiger reserves to boost enforcement and increase conviction rates for wildlife crimes.
Tiger Woods has taken a beating for the better part of two-and-a-half years.
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