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Finding the Third Proportional to 57,536 and 125,200

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Solution

The third proportional to 57,536 and 125,200 is: 272,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,536 : 125,200 = 125,200 : x
  2. Step 2: Convert to fraction form
    57,536/125,200 = 125,200/x
  3. Step 3: Cross multiply
    57,536x = 125,200 × 125,200
  4. Step 4: Simplify right side
    57,536x = 15,675,040,000
  5. Step 5: Solve for x
    x = 15,675,040,000/57,536
  6. Step 6: Final answer
    x = 272,438.82

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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.