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Finding the Third Proportional to 81,952 and 166,912

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Solution

The third proportional to 81,952 and 166,912 is: 339,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952 : 166,912 = 166,912 : x
  2. Step 2: Convert to fraction form
    81,952/166,912 = 166,912/x
  3. Step 3: Cross multiply
    81,952x = 166,912 × 166,912
  4. Step 4: Simplify right side
    81,952x = 27,859,615,744
  5. Step 5: Solve for x
    x = 27,859,615,744/81,952
  6. Step 6: Final answer
    x = 339,950.41

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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.