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Finding the Third Proportional to 41,596 and 90,967

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Solution

The third proportional to 41,596 and 90,967 is: 198,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596 : 90,967 = 90,967 : x
  2. Step 2: Convert to fraction form
    41,596/90,967 = 90,967/x
  3. Step 3: Cross multiply
    41,596x = 90,967 × 90,967
  4. Step 4: Simplify right side
    41,596x = 8,274,995,089
  5. Step 5: Solve for x
    x = 8,274,995,089/41,596
  6. Step 6: Final answer
    x = 198,937.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.