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Finding the Third Proportional to 74,419 and 111,795

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Solution

The third proportional to 74,419 and 111,795 is: 167,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,419 : 111,795 = 111,795 : x
  2. Step 2: Convert to fraction form
    74,419/111,795 = 111,795/x
  3. Step 3: Cross multiply
    74,419x = 111,795 × 111,795
  4. Step 4: Simplify right side
    74,419x = 12,498,122,025
  5. Step 5: Solve for x
    x = 12,498,122,025/74,419
  6. Step 6: Final answer
    x = 167,942.62

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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.