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Finding the Third Proportional to 111,425 and 167,667

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Solution

The third proportional to 111,425 and 167,667 is: 252,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,425 : 167,667 = 167,667 : x
  2. Step 2: Convert to fraction form
    111,425/167,667 = 167,667/x
  3. Step 3: Cross multiply
    111,425x = 167,667 × 167,667
  4. Step 4: Simplify right side
    111,425x = 28,112,222,889
  5. Step 5: Solve for x
    x = 28,112,222,889/111,425
  6. Step 6: Final answer
    x = 252,297.27

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