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Finding the Third Proportional to 80,694 and 172,466

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Solution

The third proportional to 80,694 and 172,466 is: 368,608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,694 : 172,466 = 172,466 : x
  2. Step 2: Convert to fraction form
    80,694/172,466 = 172,466/x
  3. Step 3: Cross multiply
    80,694x = 172,466 × 172,466
  4. Step 4: Simplify right side
    80,694x = 29,744,521,156
  5. Step 5: Solve for x
    x = 29,744,521,156/80,694
  6. Step 6: Final answer
    x = 368,608.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.