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Finding the Third Proportional to 57,181 and 125,996

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Solution

The third proportional to 57,181 and 125,996 is: 277,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,181 : 125,996 = 125,996 : x
  2. Step 2: Convert to fraction form
    57,181/125,996 = 125,996/x
  3. Step 3: Cross multiply
    57,181x = 125,996 × 125,996
  4. Step 4: Simplify right side
    57,181x = 15,874,992,016
  5. Step 5: Solve for x
    x = 15,874,992,016/57,181
  6. Step 6: Final answer
    x = 277,627.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.