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Finding the Third Proportional to 81,061.50 and 129,498

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Solution

The third proportional to 81,061.50 and 129,498 is: 206,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,061.50 : 129,498 = 129,498 : x
  2. Step 2: Convert to fraction form
    81,061.50/129,498 = 129,498/x
  3. Step 3: Cross multiply
    81,061.50x = 129,498 × 129,498
  4. Step 4: Simplify right side
    81,061.50x = 16,769,732,004
  5. Step 5: Solve for x
    x = 16,769,732,004/81,061.50
  6. Step 6: Final answer
    x = 206,876.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.