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Finding the Third Proportional to 110,756 and 167,286

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Solution

The third proportional to 110,756 and 167,286 is: 252,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,756 : 167,286 = 167,286 : x
  2. Step 2: Convert to fraction form
    110,756/167,286 = 167,286/x
  3. Step 3: Cross multiply
    110,756x = 167,286 × 167,286
  4. Step 4: Simplify right side
    110,756x = 27,984,605,796
  5. Step 5: Solve for x
    x = 27,984,605,796/110,756
  6. Step 6: Final answer
    x = 252,668.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.