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Finding the Third Proportional to 79,942 and 172,694

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Solution

The third proportional to 79,942 and 172,694 is: 373,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,942 : 172,694 = 172,694 : x
  2. Step 2: Convert to fraction form
    79,942/172,694 = 172,694/x
  3. Step 3: Cross multiply
    79,942x = 172,694 × 172,694
  4. Step 4: Simplify right side
    79,942x = 29,823,217,636
  5. Step 5: Solve for x
    x = 29,823,217,636/79,942
  6. Step 6: Final answer
    x = 373,060.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.