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Finding the Third Proportional to 57,748 and 125,360

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Solution

The third proportional to 57,748 and 125,360 is: 272,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748 : 125,360 = 125,360 : x
  2. Step 2: Convert to fraction form
    57,748/125,360 = 125,360/x
  3. Step 3: Cross multiply
    57,748x = 125,360 × 125,360
  4. Step 4: Simplify right side
    57,748x = 15,715,129,600
  5. Step 5: Solve for x
    x = 15,715,129,600/57,748
  6. Step 6: Final answer
    x = 272,132.88

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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.