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Finding the Third Proportional to 79,617 and 167,874

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Solution

The third proportional to 79,617 and 167,874 is: 353,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,617 : 167,874 = 167,874 : x
  2. Step 2: Convert to fraction form
    79,617/167,874 = 167,874/x
  3. Step 3: Cross multiply
    79,617x = 167,874 × 167,874
  4. Step 4: Simplify right side
    79,617x = 28,181,679,876
  5. Step 5: Solve for x
    x = 28,181,679,876/79,617
  6. Step 6: Final answer
    x = 353,965.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.