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Finding the Third Proportional to 79,691 and 173,401

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Solution

The third proportional to 79,691 and 173,401 is: 377,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,691 : 173,401 = 173,401 : x
  2. Step 2: Convert to fraction form
    79,691/173,401 = 173,401/x
  3. Step 3: Cross multiply
    79,691x = 173,401 × 173,401
  4. Step 4: Simplify right side
    79,691x = 30,067,906,801
  5. Step 5: Solve for x
    x = 30,067,906,801/79,691
  6. Step 6: Final answer
    x = 377,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.