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Finding the Third Proportional to 123,330 and 167,113

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Solution

The third proportional to 123,330 and 167,113 is: 226,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,330 : 167,113 = 167,113 : x
  2. Step 2: Convert to fraction form
    123,330/167,113 = 167,113/x
  3. Step 3: Cross multiply
    123,330x = 167,113 × 167,113
  4. Step 4: Simplify right side
    123,330x = 27,926,754,769
  5. Step 5: Solve for x
    x = 27,926,754,769/123,330
  6. Step 6: Final answer
    x = 226,439.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.