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Finding the Third Proportional to 43,802 and 96,081

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Solution

The third proportional to 43,802 and 96,081 is: 210,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,802 : 96,081 = 96,081 : x
  2. Step 2: Convert to fraction form
    43,802/96,081 = 96,081/x
  3. Step 3: Cross multiply
    43,802x = 96,081 × 96,081
  4. Step 4: Simplify right side
    43,802x = 9,231,558,561
  5. Step 5: Solve for x
    x = 9,231,558,561/43,802
  6. Step 6: Final answer
    x = 210,756.55

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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.