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Finding the Third Proportional to 39,906 and 84,996

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Solution

The third proportional to 39,906 and 84,996 is: 181,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,906 : 84,996 = 84,996 : x
  2. Step 2: Convert to fraction form
    39,906/84,996 = 84,996/x
  3. Step 3: Cross multiply
    39,906x = 84,996 × 84,996
  4. Step 4: Simplify right side
    39,906x = 7,224,320,016
  5. Step 5: Solve for x
    x = 7,224,320,016/39,906
  6. Step 6: Final answer
    x = 181,033.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.