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Finding the Third Proportional to 43,965 and 96,891

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Solution

The third proportional to 43,965 and 96,891 is: 213,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965 : 96,891 = 96,891 : x
  2. Step 2: Convert to fraction form
    43,965/96,891 = 96,891/x
  3. Step 3: Cross multiply
    43,965x = 96,891 × 96,891
  4. Step 4: Simplify right side
    43,965x = 9,387,865,881
  5. Step 5: Solve for x
    x = 9,387,865,881/43,965
  6. Step 6: Final answer
    x = 213,530.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.