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Finding the Third Proportional to 41,996 and 90,769

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Solution

The third proportional to 41,996 and 90,769 is: 196,185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,996 : 90,769 = 90,769 : x
  2. Step 2: Convert to fraction form
    41,996/90,769 = 90,769/x
  3. Step 3: Cross multiply
    41,996x = 90,769 × 90,769
  4. Step 4: Simplify right side
    41,996x = 8,239,011,361
  5. Step 5: Solve for x
    x = 8,239,011,361/41,996
  6. Step 6: Final answer
    x = 196,185.62

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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.