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Finding the Third Proportional to 124,229.25 and 165,513.38

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Solution

The third proportional to 124,229.25 and 165,513.38 is: 220,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,229.25 : 165,513.38 = 165,513.38 : x
  2. Step 2: Convert to fraction form
    124,229.25/165,513.38 = 165,513.38/x
  3. Step 3: Cross multiply
    124,229.25x = 165,513.38 × 165,513.38
  4. Step 4: Simplify right side
    124,229.25x = 27,394,677,303.89
  5. Step 5: Solve for x
    x = 27,394,677,303.89/124,229.25
  6. Step 6: Final answer
    x = 220,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.