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Finding the Third Proportional to 75,432 and 165,930

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Solution

The third proportional to 75,432 and 165,930 is: 365,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432 : 165,930 = 165,930 : x
  2. Step 2: Convert to fraction form
    75,432/165,930 = 165,930/x
  3. Step 3: Cross multiply
    75,432x = 165,930 × 165,930
  4. Step 4: Simplify right side
    75,432x = 27,532,764,900
  5. Step 5: Solve for x
    x = 27,532,764,900/75,432
  6. Step 6: Final answer
    x = 365,001.13

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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.