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Finding the Third Proportional to 74,424 and 111,876

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Solution

The third proportional to 74,424 and 111,876 is: 168,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,424 : 111,876 = 111,876 : x
  2. Step 2: Convert to fraction form
    74,424/111,876 = 111,876/x
  3. Step 3: Cross multiply
    74,424x = 111,876 × 111,876
  4. Step 4: Simplify right side
    74,424x = 12,516,239,376
  5. Step 5: Solve for x
    x = 12,516,239,376/74,424
  6. Step 6: Final answer
    x = 168,174.77

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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.