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Finding the Third Proportional to 80,063.25 and 172,497

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Solution

The third proportional to 80,063.25 and 172,497 is: 371,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,063.25 : 172,497 = 172,497 : x
  2. Step 2: Convert to fraction form
    80,063.25/172,497 = 172,497/x
  3. Step 3: Cross multiply
    80,063.25x = 172,497 × 172,497
  4. Step 4: Simplify right side
    80,063.25x = 29,755,215,009
  5. Step 5: Solve for x
    x = 29,755,215,009/80,063.25
  6. Step 6: Final answer
    x = 371,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.