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Finding the Third Proportional to 119,227 and 167,121

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Solution

The third proportional to 119,227 and 167,121 is: 234,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,227 : 167,121 = 167,121 : x
  2. Step 2: Convert to fraction form
    119,227/167,121 = 167,121/x
  3. Step 3: Cross multiply
    119,227x = 167,121 × 167,121
  4. Step 4: Simplify right side
    119,227x = 27,929,428,641
  5. Step 5: Solve for x
    x = 27,929,428,641/119,227
  6. Step 6: Final answer
    x = 234,254.23

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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.