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Finding the Third Proportional to 57,760 and 125,402

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Solution

The third proportional to 57,760 and 125,402 is: 272,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760 : 125,402 = 125,402 : x
  2. Step 2: Convert to fraction form
    57,760/125,402 = 125,402/x
  3. Step 3: Cross multiply
    57,760x = 125,402 × 125,402
  4. Step 4: Simplify right side
    57,760x = 15,725,661,604
  5. Step 5: Solve for x
    x = 15,725,661,604/57,760
  6. Step 6: Final answer
    x = 272,258.68

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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.