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Finding the Third Proportional to 111,967 and 167,881

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Solution

The third proportional to 111,967 and 167,881 is: 251,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,967 : 167,881 = 167,881 : x
  2. Step 2: Convert to fraction form
    111,967/167,881 = 167,881/x
  3. Step 3: Cross multiply
    111,967x = 167,881 × 167,881
  4. Step 4: Simplify right side
    111,967x = 28,184,030,161
  5. Step 5: Solve for x
    x = 28,184,030,161/111,967
  6. Step 6: Final answer
    x = 251,717.29

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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.