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Finding the Third Proportional to 57,544 and 125,542

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Solution

The third proportional to 57,544 and 125,542 is: 273,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,544 : 125,542 = 125,542 : x
  2. Step 2: Convert to fraction form
    57,544/125,542 = 125,542/x
  3. Step 3: Cross multiply
    57,544x = 125,542 × 125,542
  4. Step 4: Simplify right side
    57,544x = 15,760,793,764
  5. Step 5: Solve for x
    x = 15,760,793,764/57,544
  6. Step 6: Final answer
    x = 273,891.17

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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.