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Finding the Third Proportional to 75,540 and 165,992

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Solution

The third proportional to 75,540 and 165,992 is: 364,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,540 : 165,992 = 165,992 : x
  2. Step 2: Convert to fraction form
    75,540/165,992 = 165,992/x
  3. Step 3: Cross multiply
    75,540x = 165,992 × 165,992
  4. Step 4: Simplify right side
    75,540x = 27,553,344,064
  5. Step 5: Solve for x
    x = 27,553,344,064/75,540
  6. Step 6: Final answer
    x = 364,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.