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Finding the Third Proportional to 111,793 and 166,170

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Solution

The third proportional to 111,793 and 166,170 is: 246,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,793 : 166,170 = 166,170 : x
  2. Step 2: Convert to fraction form
    111,793/166,170 = 166,170/x
  3. Step 3: Cross multiply
    111,793x = 166,170 × 166,170
  4. Step 4: Simplify right side
    111,793x = 27,612,468,900
  5. Step 5: Solve for x
    x = 27,612,468,900/111,793
  6. Step 6: Final answer
    x = 246,996.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.