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Finding the Third Proportional to 80,393 and 171,463

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Solution

The third proportional to 80,393 and 171,463 is: 365,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,393 : 171,463 = 171,463 : x
  2. Step 2: Convert to fraction form
    80,393/171,463 = 171,463/x
  3. Step 3: Cross multiply
    80,393x = 171,463 × 171,463
  4. Step 4: Simplify right side
    80,393x = 29,399,560,369
  5. Step 5: Solve for x
    x = 29,399,560,369/80,393
  6. Step 6: Final answer
    x = 365,698.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.