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Finding the Third Proportional to 75,849 and 165,522

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Solution

The third proportional to 75,849 and 165,522 is: 361,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,849 : 165,522 = 165,522 : x
  2. Step 2: Convert to fraction form
    75,849/165,522 = 165,522/x
  3. Step 3: Cross multiply
    75,849x = 165,522 × 165,522
  4. Step 4: Simplify right side
    75,849x = 27,397,532,484
  5. Step 5: Solve for x
    x = 27,397,532,484/75,849
  6. Step 6: Final answer
    x = 361,211.52

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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.