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Finding the Third Proportional to 73,682 and 112,638

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Solution

The third proportional to 73,682 and 112,638 is: 172,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,682 : 112,638 = 112,638 : x
  2. Step 2: Convert to fraction form
    73,682/112,638 = 112,638/x
  3. Step 3: Cross multiply
    73,682x = 112,638 × 112,638
  4. Step 4: Simplify right side
    73,682x = 12,687,319,044
  5. Step 5: Solve for x
    x = 12,687,319,044/73,682
  6. Step 6: Final answer
    x = 172,190.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.