Finding the Third Proportional to 77,772.75 and 113,742.75
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Solution
The third proportional to 77,772.75 and 113,742.75 is: 166,348.92
Step by Step Solution
- Step 1: Write the proportion equation
77,772.75 : 113,742.75 = 113,742.75 : x - Step 2: Convert to fraction form
77,772.75/113,742.75 = 113,742.75/x - Step 3: Cross multiply
77,772.75x = 113,742.75 × 113,742.75 - Step 4: Simplify right side
77,772.75x = 12,937,413,177.56 - Step 5: Solve for x
x = 12,937,413,177.56/77,772.75 - Step 6: Final answer
x = 166,348.92
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.