Which of the following years marked the establishment of an active FFA membership exceeding 100,000?

The year when active FFA membership exceeded 100,000 was indeed 1935. This growth was significant as it represented the rising popularity and expansion of the organization, which was founded to promote agricultural education and leadership among students.

By 1935, the Future Farmers of America had rapidly developed from its inception in 1928 and had become a vital part of many students' educational experiences, especially in rural and farming communities. The substantial membership increase indicated not only the success of the organization in attracting more students but also the growing importance of agricultural education during that time. This period also coincided with increased interest in vocational agriculture as a response to the economic challenges of the Great Depression.

The years prior, such as 1933, 1934, and 1936, experienced different membership levels, but it was in 1935 that the FFA truly reached a milestone with this significant number of active members, reinforcing its role as a key player in agricultural education.