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Finding the Third Proportional to 80,016 and 172,425

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Solution

The third proportional to 80,016 and 172,425 is: 371,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,016 : 172,425 = 172,425 : x
  2. Step 2: Convert to fraction form
    80,016/172,425 = 172,425/x
  3. Step 3: Cross multiply
    80,016x = 172,425 × 172,425
  4. Step 4: Simplify right side
    80,016x = 29,730,380,625
  5. Step 5: Solve for x
    x = 29,730,380,625/80,016
  6. Step 6: Final answer
    x = 371,555.45

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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.