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Finding the Third Proportional to 57,792 and 125,060

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Solution

The third proportional to 57,792 and 125,060 is: 270,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792 : 125,060 = 125,060 : x
  2. Step 2: Convert to fraction form
    57,792/125,060 = 125,060/x
  3. Step 3: Cross multiply
    57,792x = 125,060 × 125,060
  4. Step 4: Simplify right side
    57,792x = 15,640,003,600
  5. Step 5: Solve for x
    x = 15,640,003,600/57,792
  6. Step 6: Final answer
    x = 270,625.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.