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Finding the Third Proportional to 126,118 and 267,610

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Solution

The third proportional to 126,118 and 267,610 is: 567,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,118 : 267,610 = 267,610 : x
  2. Step 2: Convert to fraction form
    126,118/267,610 = 267,610/x
  3. Step 3: Cross multiply
    126,118x = 267,610 × 267,610
  4. Step 4: Simplify right side
    126,118x = 71,615,112,100
  5. Step 5: Solve for x
    x = 71,615,112,100/126,118
  6. Step 6: Final answer
    x = 567,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.