Finding the Third Proportional to 81,765 and 109,882
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Solution
The third proportional to 81,765 and 109,882 is: 147,667.75
Step by Step Solution
- Step 1: Write the proportion equation
81,765 : 109,882 = 109,882 : x - Step 2: Convert to fraction form
81,765/109,882 = 109,882/x - Step 3: Cross multiply
81,765x = 109,882 × 109,882 - Step 4: Simplify right side
81,765x = 12,074,053,924 - Step 5: Solve for x
x = 12,074,053,924/81,765 - Step 6: Final answer
x = 147,667.75
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.