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Finding the Third Proportional to 80,980 and 167,147

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Solution

The third proportional to 80,980 and 167,147 is: 345,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,980 : 167,147 = 167,147 : x
  2. Step 2: Convert to fraction form
    80,980/167,147 = 167,147/x
  3. Step 3: Cross multiply
    80,980x = 167,147 × 167,147
  4. Step 4: Simplify right side
    80,980x = 27,938,119,609
  5. Step 5: Solve for x
    x = 27,938,119,609/80,980
  6. Step 6: Final answer
    x = 345,000.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.