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Finding the Third Proportional to 79,691 and 173,402

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Solution

The third proportional to 79,691 and 173,402 is: 377,310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,691 : 173,402 = 173,402 : x
  2. Step 2: Convert to fraction form
    79,691/173,402 = 173,402/x
  3. Step 3: Cross multiply
    79,691x = 173,402 × 173,402
  4. Step 4: Simplify right side
    79,691x = 30,068,253,604
  5. Step 5: Solve for x
    x = 30,068,253,604/79,691
  6. Step 6: Final answer
    x = 377,310.53

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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.