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Finding the Third Proportional to 57,532 and 125,742

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Solution

The third proportional to 57,532 and 125,742 is: 274,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,532 : 125,742 = 125,742 : x
  2. Step 2: Convert to fraction form
    57,532/125,742 = 125,742/x
  3. Step 3: Cross multiply
    57,532x = 125,742 × 125,742
  4. Step 4: Simplify right side
    57,532x = 15,811,050,564
  5. Step 5: Solve for x
    x = 15,811,050,564/57,532
  6. Step 6: Final answer
    x = 274,821.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.