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Finding the Third Proportional to 57,242 and 125,902

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Solution

The third proportional to 57,242 and 125,902 is: 276,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242 : 125,902 = 125,902 : x
  2. Step 2: Convert to fraction form
    57,242/125,902 = 125,902/x
  3. Step 3: Cross multiply
    57,242x = 125,902 × 125,902
  4. Step 4: Simplify right side
    57,242x = 15,851,313,604
  5. Step 5: Solve for x
    x = 15,851,313,604/57,242
  6. Step 6: Final answer
    x = 276,917.54

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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.