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Finding the Third Proportional to 41,118 and 88,074

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Solution

The third proportional to 41,118 and 88,074 is: 188,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118 : 88,074 = 88,074 : x
  2. Step 2: Convert to fraction form
    41,118/88,074 = 88,074/x
  3. Step 3: Cross multiply
    41,118x = 88,074 × 88,074
  4. Step 4: Simplify right side
    41,118x = 7,757,029,476
  5. Step 5: Solve for x
    x = 7,757,029,476/41,118
  6. Step 6: Final answer
    x = 188,652.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.