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Finding the Third Proportional to 75,845 and 165,514

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Solution

The third proportional to 75,845 and 165,514 is: 361,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,845 : 165,514 = 165,514 : x
  2. Step 2: Convert to fraction form
    75,845/165,514 = 165,514/x
  3. Step 3: Cross multiply
    75,845x = 165,514 × 165,514
  4. Step 4: Simplify right side
    75,845x = 27,394,884,196
  5. Step 5: Solve for x
    x = 27,394,884,196/75,845
  6. Step 6: Final answer
    x = 361,195.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.