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Finding the Third Proportional to 110,978 and 170,193

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Solution

The third proportional to 110,978 and 170,193 is: 261,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978 : 170,193 = 170,193 : x
  2. Step 2: Convert to fraction form
    110,978/170,193 = 170,193/x
  3. Step 3: Cross multiply
    110,978x = 170,193 × 170,193
  4. Step 4: Simplify right side
    110,978x = 28,965,657,249
  5. Step 5: Solve for x
    x = 28,965,657,249/110,978
  6. Step 6: Final answer
    x = 261,003.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.