If jimmie wins the championship this year, will it be a record?

May be...

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it will tie cal yarborough's record of 3 in a row 1976-78

No but Jimmie will be a lot cooler if he does win! And you will be very happy.

He'll tie the record set by Cale Yarborough with 3 in a row.

if not, then who holds the record, and how many championships in a row is it?

If he wins 3 championships in a row, he'll be tied with William Caleb (Cale) Yarborough. Cale won the 1976, 1977, & 1978 Winston Cup Series Championships. Go Jimmie!