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Finding the Third Proportional to 111,229.50 and 168,147

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Solution

The third proportional to 111,229.50 and 168,147 is: 254,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,229.50 : 168,147 = 168,147 : x
  2. Step 2: Convert to fraction form
    111,229.50/168,147 = 168,147/x
  3. Step 3: Cross multiply
    111,229.50x = 168,147 × 168,147
  4. Step 4: Simplify right side
    111,229.50x = 28,273,413,609
  5. Step 5: Solve for x
    x = 28,273,413,609/111,229.50
  6. Step 6: Final answer
    x = 254,189.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.