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Finding the Third Proportional to 79,079 and 167,327

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Solution

The third proportional to 79,079 and 167,327 is: 354,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,079 : 167,327 = 167,327 : x
  2. Step 2: Convert to fraction form
    79,079/167,327 = 167,327/x
  3. Step 3: Cross multiply
    79,079x = 167,327 × 167,327
  4. Step 4: Simplify right side
    79,079x = 27,998,324,929
  5. Step 5: Solve for x
    x = 27,998,324,929/79,079
  6. Step 6: Final answer
    x = 354,055.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.