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The available options for the question are the following:
Whig Party
Progressive Party
Dixiecrats
Green Party
Therefore, considering the available options, the party that is not a third-party challenger is the Whig Party.
This is because the Whig Party is one of the two major parties in America between the 1830s and 1850s.
Whig Party was very active during the Second Party System era.
The Whig Party produced four United States Presidents in which two were elected.
They were William Henry Harrison, Zachary Taylor, John Tyler, and Millard Fillmore.
Hence, in this case, it is concluded that the Whig Party was one of the major political parties in the United States history.
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