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Finding the Third Proportional to 39,944 and 81,616

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Solution

The third proportional to 39,944 and 81,616 is: 166,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,944 : 81,616 = 81,616 : x
  2. Step 2: Convert to fraction form
    39,944/81,616 = 81,616/x
  3. Step 3: Cross multiply
    39,944x = 81,616 × 81,616
  4. Step 4: Simplify right side
    39,944x = 6,661,171,456
  5. Step 5: Solve for x
    x = 6,661,171,456/39,944
  6. Step 6: Final answer
    x = 166,762.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.