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Finding the Third Proportional to 83,606 and 129,509

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Solution

The third proportional to 83,606 and 129,509 is: 200,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,606 : 129,509 = 129,509 : x
  2. Step 2: Convert to fraction form
    83,606/129,509 = 129,509/x
  3. Step 3: Cross multiply
    83,606x = 129,509 × 129,509
  4. Step 4: Simplify right side
    83,606x = 16,772,581,081
  5. Step 5: Solve for x
    x = 16,772,581,081/83,606
  6. Step 6: Final answer
    x = 200,614.56

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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.