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Finding the Third Proportional to 41,817 and 90,195

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Solution

The third proportional to 41,817 and 90,195 is: 194,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,817 : 90,195 = 90,195 : x
  2. Step 2: Convert to fraction form
    41,817/90,195 = 90,195/x
  3. Step 3: Cross multiply
    41,817x = 90,195 × 90,195
  4. Step 4: Simplify right side
    41,817x = 8,135,138,025
  5. Step 5: Solve for x
    x = 8,135,138,025/41,817
  6. Step 6: Final answer
    x = 194,541.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.