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Finding the Third Proportional to 73,882 and 110,794

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Solution

The third proportional to 73,882 and 110,794 is: 166,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882 : 110,794 = 110,794 : x
  2. Step 2: Convert to fraction form
    73,882/110,794 = 110,794/x
  3. Step 3: Cross multiply
    73,882x = 110,794 × 110,794
  4. Step 4: Simplify right side
    73,882x = 12,275,310,436
  5. Step 5: Solve for x
    x = 12,275,310,436/73,882
  6. Step 6: Final answer
    x = 166,147.51

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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.