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Finding the Third Proportional to 41,554 and 90,074

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Solution

The third proportional to 41,554 and 90,074 is: 195,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,554 : 90,074 = 90,074 : x
  2. Step 2: Convert to fraction form
    41,554/90,074 = 90,074/x
  3. Step 3: Cross multiply
    41,554x = 90,074 × 90,074
  4. Step 4: Simplify right side
    41,554x = 8,113,325,476
  5. Step 5: Solve for x
    x = 8,113,325,476/41,554
  6. Step 6: Final answer
    x = 195,247.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.