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Finding the Third Proportional to 111,969 and 167,884

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Solution

The third proportional to 111,969 and 167,884 is: 251,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,969 : 167,884 = 167,884 : x
  2. Step 2: Convert to fraction form
    111,969/167,884 = 167,884/x
  3. Step 3: Cross multiply
    111,969x = 167,884 × 167,884
  4. Step 4: Simplify right side
    111,969x = 28,185,037,456
  5. Step 5: Solve for x
    x = 28,185,037,456/111,969
  6. Step 6: Final answer
    x = 251,721.79

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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.