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Finding the Third Proportional to 57,704 and 125,200

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Solution

The third proportional to 57,704 and 125,200 is: 271,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,704 : 125,200 = 125,200 : x
  2. Step 2: Convert to fraction form
    57,704/125,200 = 125,200/x
  3. Step 3: Cross multiply
    57,704x = 125,200 × 125,200
  4. Step 4: Simplify right side
    57,704x = 15,675,040,000
  5. Step 5: Solve for x
    x = 15,675,040,000/57,704
  6. Step 6: Final answer
    x = 271,645.64

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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.