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Finding the Third Proportional to 132,425.25 and 271,821.75

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Solution

The third proportional to 132,425.25 and 271,821.75 is: 557,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,425.25 : 271,821.75 = 271,821.75 : x
  2. Step 2: Convert to fraction form
    132,425.25/271,821.75 = 271,821.75/x
  3. Step 3: Cross multiply
    132,425.25x = 271,821.75 × 271,821.75
  4. Step 4: Simplify right side
    132,425.25x = 73,887,063,773.06
  5. Step 5: Solve for x
    x = 73,887,063,773.06/132,425.25
  6. Step 6: Final answer
    x = 557,952.99

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.