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Finding the Third Proportional to 71,649 and 110,481.75

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Solution

The third proportional to 71,649 and 110,481.75 is: 170,361.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649 : 110,481.75 = 110,481.75 : x
  2. Step 2: Convert to fraction form
    71,649/110,481.75 = 110,481.75/x
  3. Step 3: Cross multiply
    71,649x = 110,481.75 × 110,481.75
  4. Step 4: Simplify right side
    71,649x = 12,206,217,083.06
  5. Step 5: Solve for x
    x = 12,206,217,083.06/71,649
  6. Step 6: Final answer
    x = 170,361.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.