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Finding the Third Proportional to 57,487 and 125,099

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Solution

The third proportional to 57,487 and 125,099 is: 272,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,487 : 125,099 = 125,099 : x
  2. Step 2: Convert to fraction form
    57,487/125,099 = 125,099/x
  3. Step 3: Cross multiply
    57,487x = 125,099 × 125,099
  4. Step 4: Simplify right side
    57,487x = 15,649,759,801
  5. Step 5: Solve for x
    x = 15,649,759,801/57,487
  6. Step 6: Final answer
    x = 272,231.28

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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.