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Finding the Third Proportional to 69,844 and 108,234

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Solution

The third proportional to 69,844 and 108,234 is: 167,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,844 : 108,234 = 108,234 : x
  2. Step 2: Convert to fraction form
    69,844/108,234 = 108,234/x
  3. Step 3: Cross multiply
    69,844x = 108,234 × 108,234
  4. Step 4: Simplify right side
    69,844x = 11,714,598,756
  5. Step 5: Solve for x
    x = 11,714,598,756/69,844
  6. Step 6: Final answer
    x = 167,725.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.