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Finding the Third Proportional to 57,234 and 125,220

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Solution

The third proportional to 57,234 and 125,220 is: 273,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234 : 125,220 = 125,220 : x
  2. Step 2: Convert to fraction form
    57,234/125,220 = 125,220/x
  3. Step 3: Cross multiply
    57,234x = 125,220 × 125,220
  4. Step 4: Simplify right side
    57,234x = 15,680,048,400
  5. Step 5: Solve for x
    x = 15,680,048,400/57,234
  6. Step 6: Final answer
    x = 273,963.87

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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.