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Finding the Third Proportional to 126,412.10 and 271,584.25

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Solution

The third proportional to 126,412.10 and 271,584.25 is: 583,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,412.10 : 271,584.25 = 271,584.25 : x
  2. Step 2: Convert to fraction form
    126,412.10/271,584.25 = 271,584.25/x
  3. Step 3: Cross multiply
    126,412.10x = 271,584.25 × 271,584.25
  4. Step 4: Simplify right side
    126,412.10x = 73,758,002,726.31
  5. Step 5: Solve for x
    x = 73,758,002,726.31/126,412.10
  6. Step 6: Final answer
    x = 583,472.64

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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.