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Finding the Third Proportional to 107,558 and 167,227

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Solution

The third proportional to 107,558 and 167,227 is: 259,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,558 : 167,227 = 167,227 : x
  2. Step 2: Convert to fraction form
    107,558/167,227 = 167,227/x
  3. Step 3: Cross multiply
    107,558x = 167,227 × 167,227
  4. Step 4: Simplify right side
    107,558x = 27,964,869,529
  5. Step 5: Solve for x
    x = 27,964,869,529/107,558
  6. Step 6: Final answer
    x = 259,998.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.