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Finding the Third Proportional to 59,817 and 129,537

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Solution

The third proportional to 59,817 and 129,537 is: 280,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817 : 129,537 = 129,537 : x
  2. Step 2: Convert to fraction form
    59,817/129,537 = 129,537/x
  3. Step 3: Cross multiply
    59,817x = 129,537 × 129,537
  4. Step 4: Simplify right side
    59,817x = 16,779,834,369
  5. Step 5: Solve for x
    x = 16,779,834,369/59,817
  6. Step 6: Final answer
    x = 280,519.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.