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Finding the Third Proportional to 81,500 and 129,683

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Solution

The third proportional to 81,500 and 129,683 is: 206,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,500 : 129,683 = 129,683 : x
  2. Step 2: Convert to fraction form
    81,500/129,683 = 129,683/x
  3. Step 3: Cross multiply
    81,500x = 129,683 × 129,683
  4. Step 4: Simplify right side
    81,500x = 16,817,680,489
  5. Step 5: Solve for x
    x = 16,817,680,489/81,500
  6. Step 6: Final answer
    x = 206,351.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.