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Finding the Third Proportional to 57,287 and 125,860

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Solution

The third proportional to 57,287 and 125,860 is: 276,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287 : 125,860 = 125,860 : x
  2. Step 2: Convert to fraction form
    57,287/125,860 = 125,860/x
  3. Step 3: Cross multiply
    57,287x = 125,860 × 125,860
  4. Step 4: Simplify right side
    57,287x = 15,840,739,600
  5. Step 5: Solve for x
    x = 15,840,739,600/57,287
  6. Step 6: Final answer
    x = 276,515.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.