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Finding the Third Proportional to 111,639.38 and 167,712.19

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Solution

The third proportional to 111,639.38 and 167,712.19 is: 251,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,639.38 : 167,712.19 = 167,712.19 : x
  2. Step 2: Convert to fraction form
    111,639.38/167,712.19 = 167,712.19/x
  3. Step 3: Cross multiply
    111,639.38x = 167,712.19 × 167,712.19
  4. Step 4: Simplify right side
    111,639.38x = 28,127,377,836.04
  5. Step 5: Solve for x
    x = 28,127,377,836.04/111,639.38
  6. Step 6: Final answer
    x = 251,948.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.