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Finding the Third Proportional to 119,214 and 167,103

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Solution

The third proportional to 119,214 and 167,103 is: 234,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,214 : 167,103 = 167,103 : x
  2. Step 2: Convert to fraction form
    119,214/167,103 = 167,103/x
  3. Step 3: Cross multiply
    119,214x = 167,103 × 167,103
  4. Step 4: Simplify right side
    119,214x = 27,923,412,609
  5. Step 5: Solve for x
    x = 27,923,412,609/119,214
  6. Step 6: Final answer
    x = 234,229.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.