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Finding the Third Proportional to 57,663 and 125,761

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Solution

The third proportional to 57,663 and 125,761 is: 274,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663 : 125,761 = 125,761 : x
  2. Step 2: Convert to fraction form
    57,663/125,761 = 125,761/x
  3. Step 3: Cross multiply
    57,663x = 125,761 × 125,761
  4. Step 4: Simplify right side
    57,663x = 15,815,829,121
  5. Step 5: Solve for x
    x = 15,815,829,121/57,663
  6. Step 6: Final answer
    x = 274,280.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.