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Finding the Third Proportional to 43,880 and 96,504

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Solution

The third proportional to 43,880 and 96,504 is: 212,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,880 : 96,504 = 96,504 : x
  2. Step 2: Convert to fraction form
    43,880/96,504 = 96,504/x
  3. Step 3: Cross multiply
    43,880x = 96,504 × 96,504
  4. Step 4: Simplify right side
    43,880x = 9,313,022,016
  5. Step 5: Solve for x
    x = 9,313,022,016/43,880
  6. Step 6: Final answer
    x = 212,238.42

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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.