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Finding the Third Proportional to 78,022 and 167,894

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Solution

The third proportional to 78,022 and 167,894 is: 361,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,022 : 167,894 = 167,894 : x
  2. Step 2: Convert to fraction form
    78,022/167,894 = 167,894/x
  3. Step 3: Cross multiply
    78,022x = 167,894 × 167,894
  4. Step 4: Simplify right side
    78,022x = 28,188,395,236
  5. Step 5: Solve for x
    x = 28,188,395,236/78,022
  6. Step 6: Final answer
    x = 361,287.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.