Finding the Third Proportional to 75,807.75 and 117,708.75
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Solution
The third proportional to 75,807.75 and 117,708.75 is: 182,769.57
Step by Step Solution
- Step 1: Write the proportion equation
75,807.75 : 117,708.75 = 117,708.75 : x - Step 2: Convert to fraction form
75,807.75/117,708.75 = 117,708.75/x - Step 3: Cross multiply
75,807.75x = 117,708.75 × 117,708.75 - Step 4: Simplify right side
75,807.75x = 13,855,349,826.56 - Step 5: Solve for x
x = 13,855,349,826.56/75,807.75 - Step 6: Final answer
x = 182,769.57
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.