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Finding the Third Proportional to 37,801 and 82,163

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Solution

The third proportional to 37,801 and 82,163 is: 178,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,801 : 82,163 = 82,163 : x
  2. Step 2: Convert to fraction form
    37,801/82,163 = 82,163/x
  3. Step 3: Cross multiply
    37,801x = 82,163 × 82,163
  4. Step 4: Simplify right side
    37,801x = 6,750,758,569
  5. Step 5: Solve for x
    x = 6,750,758,569/37,801
  6. Step 6: Final answer
    x = 178,586.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.