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Finding the Third Proportional to 59,481 and 80,745

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Solution

The third proportional to 59,481 and 80,745 is: 109,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,481 : 80,745 = 80,745 : x
  2. Step 2: Convert to fraction form
    59,481/80,745 = 80,745/x
  3. Step 3: Cross multiply
    59,481x = 80,745 × 80,745
  4. Step 4: Simplify right side
    59,481x = 6,519,755,025
  5. Step 5: Solve for x
    x = 6,519,755,025/59,481
  6. Step 6: Final answer
    x = 109,610.72

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.