1. **State the problem:** We need to find the total number of ounces in 126.5 servings of popcorn, where each serving weighs 5.25 ounces. 2. **Formula used:** To find the total weight, multiply the number of servings by the weight per serving: $$\text{Total ounces} = \text{Number of servings} \times \text{Ounces per serving}$$ 3. **Apply the values:** $$\text{Total ounces} = 126.5 \times 5.25$$ 4. **Calculate the product:** $$126.5 \times 5.25 = 663.125$$ 5. **Interpretation:** There are 663.125 ounces in 126.5 servings of popcorn. 6. **Note on the given number 24.09521:** This number does not correspond to the total ounces for 126.5 servings at 5.25 ounces each, so it may be unrelated or a mistake. **Final answer:** $$\boxed{663.125}$$