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Finding the Third Proportional to 83,529 and 129,537

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Solution

The third proportional to 83,529 and 129,537 is: 200,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,529 : 129,537 = 129,537 : x
  2. Step 2: Convert to fraction form
    83,529/129,537 = 129,537/x
  3. Step 3: Cross multiply
    83,529x = 129,537 × 129,537
  4. Step 4: Simplify right side
    83,529x = 16,779,834,369
  5. Step 5: Solve for x
    x = 16,779,834,369/83,529
  6. Step 6: Final answer
    x = 200,886.33

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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.