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Finding the Third Proportional to 126,662 and 271,948

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Solution

The third proportional to 126,662 and 271,948 is: 583,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,662 : 271,948 = 271,948 : x
  2. Step 2: Convert to fraction form
    126,662/271,948 = 271,948/x
  3. Step 3: Cross multiply
    126,662x = 271,948 × 271,948
  4. Step 4: Simplify right side
    126,662x = 73,955,714,704
  5. Step 5: Solve for x
    x = 73,955,714,704/126,662
  6. Step 6: Final answer
    x = 583,882.42

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.