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Finding the Third Proportional to 110,766 and 167,471

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Solution

The third proportional to 110,766 and 167,471 is: 253,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766 : 167,471 = 167,471 : x
  2. Step 2: Convert to fraction form
    110,766/167,471 = 167,471/x
  3. Step 3: Cross multiply
    110,766x = 167,471 × 167,471
  4. Step 4: Simplify right side
    110,766x = 28,046,535,841
  5. Step 5: Solve for x
    x = 28,046,535,841/110,766
  6. Step 6: Final answer
    x = 253,205.28

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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.