I personally think a better idea would be to have a point in the game where you automatically lose. I am not sure what would be a good formula, but as an example - if the difference in points is greater than twice the number of points remaining, then the game is lost. It might be good to add limits, say a minimum of 15 points more than the remaining value and maximum of 40.
I know that some people will claim to have made up these differences, but usually it's not going to happen. If you are that far behind, then either you are not good enough to do it often or else the other player is good enough to get out of them most of the time.