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Finding the Third Proportional to 119,215 and 167,105

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Solution

The third proportional to 119,215 and 167,105 is: 234,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,215 : 167,105 = 167,105 : x
  2. Step 2: Convert to fraction form
    119,215/167,105 = 167,105/x
  3. Step 3: Cross multiply
    119,215x = 167,105 × 167,105
  4. Step 4: Simplify right side
    119,215x = 27,924,081,025
  5. Step 5: Solve for x
    x = 27,924,081,025/119,215
  6. Step 6: Final answer
    x = 234,232.95

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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.