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Finding the Third Proportional to 57,657 and 125,411.25

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Solution

The third proportional to 57,657 and 125,411.25 is: 272,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,657 : 125,411.25 = 125,411.25 : x
  2. Step 2: Convert to fraction form
    57,657/125,411.25 = 125,411.25/x
  3. Step 3: Cross multiply
    57,657x = 125,411.25 × 125,411.25
  4. Step 4: Simplify right side
    57,657x = 15,727,981,626.56
  5. Step 5: Solve for x
    x = 15,727,981,626.56/57,657
  6. Step 6: Final answer
    x = 272,785.29

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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.