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Finding the Third Proportional to 111,427 and 167,167

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Solution

The third proportional to 111,427 and 167,167 is: 250,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,427 : 167,167 = 167,167 : x
  2. Step 2: Convert to fraction form
    111,427/167,167 = 167,167/x
  3. Step 3: Cross multiply
    111,427x = 167,167 × 167,167
  4. Step 4: Simplify right side
    111,427x = 27,944,805,889
  5. Step 5: Solve for x
    x = 27,944,805,889/111,427
  6. Step 6: Final answer
    x = 250,790.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.