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Finding the Third Proportional to 75,530 and 165,972

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Solution

The third proportional to 75,530 and 165,972 is: 364,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,530 : 165,972 = 165,972 : x
  2. Step 2: Convert to fraction form
    75,530/165,972 = 165,972/x
  3. Step 3: Cross multiply
    75,530x = 165,972 × 165,972
  4. Step 4: Simplify right side
    75,530x = 27,546,704,784
  5. Step 5: Solve for x
    x = 27,546,704,784/75,530
  6. Step 6: Final answer
    x = 364,712.10

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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.