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Finding the Third Proportional to 81,936 and 166,887

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Solution

The third proportional to 81,936 and 166,887 is: 339,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,936 : 166,887 = 166,887 : x
  2. Step 2: Convert to fraction form
    81,936/166,887 = 166,887/x
  3. Step 3: Cross multiply
    81,936x = 166,887 × 166,887
  4. Step 4: Simplify right side
    81,936x = 27,851,270,769
  5. Step 5: Solve for x
    x = 27,851,270,769/81,936
  6. Step 6: Final answer
    x = 339,914.94

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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.