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Finding the Third Proportional to 124,554 and 165,540

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Solution

The third proportional to 124,554 and 165,540 is: 220,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,554 : 165,540 = 165,540 : x
  2. Step 2: Convert to fraction form
    124,554/165,540 = 165,540/x
  3. Step 3: Cross multiply
    124,554x = 165,540 × 165,540
  4. Step 4: Simplify right side
    124,554x = 27,403,491,600
  5. Step 5: Solve for x
    x = 27,403,491,600/124,554
  6. Step 6: Final answer
    x = 220,012.94

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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.