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Finding the Third Proportional to 124,013.25 and 269,167.25

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Solution

The third proportional to 124,013.25 and 269,167.25 is: 584,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,013.25 : 269,167.25 = 269,167.25 : x
  2. Step 2: Convert to fraction form
    124,013.25/269,167.25 = 269,167.25/x
  3. Step 3: Cross multiply
    124,013.25x = 269,167.25 × 269,167.25
  4. Step 4: Simplify right side
    124,013.25x = 72,451,008,472.56
  5. Step 5: Solve for x
    x = 72,451,008,472.56/124,013.25
  6. Step 6: Final answer
    x = 584,219.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.