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Finding the Third Proportional to 75,204 and 165,282

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Solution

The third proportional to 75,204 and 165,282 is: 363,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,204 : 165,282 = 165,282 : x
  2. Step 2: Convert to fraction form
    75,204/165,282 = 165,282/x
  3. Step 3: Cross multiply
    75,204x = 165,282 × 165,282
  4. Step 4: Simplify right side
    75,204x = 27,318,139,524
  5. Step 5: Solve for x
    x = 27,318,139,524/75,204
  6. Step 6: Final answer
    x = 363,253.81

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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.