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Finding the Third Proportional to 80,170 and 172,399

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Solution

The third proportional to 80,170 and 172,399 is: 370,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,170 : 172,399 = 172,399 : x
  2. Step 2: Convert to fraction form
    80,170/172,399 = 172,399/x
  3. Step 3: Cross multiply
    80,170x = 172,399 × 172,399
  4. Step 4: Simplify right side
    80,170x = 29,721,415,201
  5. Step 5: Solve for x
    x = 29,721,415,201/80,170
  6. Step 6: Final answer
    x = 370,729.89

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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.