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Finding the Third Proportional to 43,899 and 96,762

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Solution

The third proportional to 43,899 and 96,762 is: 213,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,899 : 96,762 = 96,762 : x
  2. Step 2: Convert to fraction form
    43,899/96,762 = 96,762/x
  3. Step 3: Cross multiply
    43,899x = 96,762 × 96,762
  4. Step 4: Simplify right side
    43,899x = 9,362,884,644
  5. Step 5: Solve for x
    x = 9,362,884,644/43,899
  6. Step 6: Final answer
    x = 213,282.41

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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.