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Finding the Third Proportional to 83,500 and 129,441

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Solution

The third proportional to 83,500 and 129,441 is: 200,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,500 : 129,441 = 129,441 : x
  2. Step 2: Convert to fraction form
    83,500/129,441 = 129,441/x
  3. Step 3: Cross multiply
    83,500x = 129,441 × 129,441
  4. Step 4: Simplify right side
    83,500x = 16,754,972,481
  5. Step 5: Solve for x
    x = 16,754,972,481/83,500
  6. Step 6: Final answer
    x = 200,658.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.