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Finding the Third Proportional to 110,766 and 167,301

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Solution

The third proportional to 110,766 and 167,301 is: 252,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766 : 167,301 = 167,301 : x
  2. Step 2: Convert to fraction form
    110,766/167,301 = 167,301/x
  3. Step 3: Cross multiply
    110,766x = 167,301 × 167,301
  4. Step 4: Simplify right side
    110,766x = 27,989,624,601
  5. Step 5: Solve for x
    x = 27,989,624,601/110,766
  6. Step 6: Final answer
    x = 252,691.48

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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.