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Finding the Third Proportional to 79,844 and 173,866

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Solution

The third proportional to 79,844 and 173,866 is: 378,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,844 : 173,866 = 173,866 : x
  2. Step 2: Convert to fraction form
    79,844/173,866 = 173,866/x
  3. Step 3: Cross multiply
    79,844x = 173,866 × 173,866
  4. Step 4: Simplify right side
    79,844x = 30,229,385,956
  5. Step 5: Solve for x
    x = 30,229,385,956/79,844
  6. Step 6: Final answer
    x = 378,605.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.