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Finding the Third Proportional to 60,625 and 131,617

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Solution

The third proportional to 60,625 and 131,617 is: 285,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,625 : 131,617 = 131,617 : x
  2. Step 2: Convert to fraction form
    60,625/131,617 = 131,617/x
  3. Step 3: Cross multiply
    60,625x = 131,617 × 131,617
  4. Step 4: Simplify right side
    60,625x = 17,323,034,689
  5. Step 5: Solve for x
    x = 17,323,034,689/60,625
  6. Step 6: Final answer
    x = 285,740.78

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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.