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Finding the Third Proportional to 41,995 and 90,767

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Solution

The third proportional to 41,995 and 90,767 is: 196,181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,995 : 90,767 = 90,767 : x
  2. Step 2: Convert to fraction form
    41,995/90,767 = 90,767/x
  3. Step 3: Cross multiply
    41,995x = 90,767 × 90,767
  4. Step 4: Simplify right side
    41,995x = 8,238,648,289
  5. Step 5: Solve for x
    x = 8,238,648,289/41,995
  6. Step 6: Final answer
    x = 196,181.65

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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.