The crossword solutions for the term PRODUCT GEM STATE are TATER, which is a five-letter word. TATER is a slang term for a potato, which is a type of root vegetable that is widely cultivated and used as a food source around the world. The term is also used to refer to dishes made with potatoes, such as mashed potatoes, french fries, and potato chips. In the United States, Idaho is known as the 'Gem State' due to its abundance of natural resources, including potatoes. Therefore, the term TATER is an appropriate solution for the crossword clue PRODUCT GEM STATE.