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Finding the Third Proportional to 111,280 and 166,856

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Solution

The third proportional to 111,280 and 166,856 is: 250,188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,280 : 166,856 = 166,856 : x
  2. Step 2: Convert to fraction form
    111,280/166,856 = 166,856/x
  3. Step 3: Cross multiply
    111,280x = 166,856 × 166,856
  4. Step 4: Simplify right side
    111,280x = 27,840,924,736
  5. Step 5: Solve for x
    x = 27,840,924,736/111,280
  6. Step 6: Final answer
    x = 250,188.04

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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.