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Finding the Third Proportional to 57,754 and 125,372

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Solution

The third proportional to 57,754 and 125,372 is: 272,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,754 : 125,372 = 125,372 : x
  2. Step 2: Convert to fraction form
    57,754/125,372 = 125,372/x
  3. Step 3: Cross multiply
    57,754x = 125,372 × 125,372
  4. Step 4: Simplify right side
    57,754x = 15,718,138,384
  5. Step 5: Solve for x
    x = 15,718,138,384/57,754
  6. Step 6: Final answer
    x = 272,156.71

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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.