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Finding the Third Proportional to 32,105 and 69,151

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Solution

The third proportional to 32,105 and 69,151 is: 148,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105 : 69,151 = 69,151 : x
  2. Step 2: Convert to fraction form
    32,105/69,151 = 69,151/x
  3. Step 3: Cross multiply
    32,105x = 69,151 × 69,151
  4. Step 4: Simplify right side
    32,105x = 4,781,860,801
  5. Step 5: Solve for x
    x = 4,781,860,801/32,105
  6. Step 6: Final answer
    x = 148,944.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.