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Finding the Third Proportional to 57,938 and 125,656

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Solution

The third proportional to 57,938 and 125,656 is: 272,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,938 : 125,656 = 125,656 : x
  2. Step 2: Convert to fraction form
    57,938/125,656 = 125,656/x
  3. Step 3: Cross multiply
    57,938x = 125,656 × 125,656
  4. Step 4: Simplify right side
    57,938x = 15,789,430,336
  5. Step 5: Solve for x
    x = 15,789,430,336/57,938
  6. Step 6: Final answer
    x = 272,522.88

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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.