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Finding the Third Proportional to 83,601 and 129,591

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Solution

The third proportional to 83,601 and 129,591 is: 200,880.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601 : 129,591 = 129,591 : x
  2. Step 2: Convert to fraction form
    83,601/129,591 = 129,591/x
  3. Step 3: Cross multiply
    83,601x = 129,591 × 129,591
  4. Step 4: Simplify right side
    83,601x = 16,793,827,281
  5. Step 5: Solve for x
    x = 16,793,827,281/83,601
  6. Step 6: Final answer
    x = 200,880.70

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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.