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Finding the Third Proportional to 41,769 and 90,463

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Solution

The third proportional to 41,769 and 90,463 is: 195,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,769 : 90,463 = 90,463 : x
  2. Step 2: Convert to fraction form
    41,769/90,463 = 90,463/x
  3. Step 3: Cross multiply
    41,769x = 90,463 × 90,463
  4. Step 4: Simplify right side
    41,769x = 8,183,554,369
  5. Step 5: Solve for x
    x = 8,183,554,369/41,769
  6. Step 6: Final answer
    x = 195,924.12

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Why These Related Problems?

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