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Finding the Third Proportional to 81,713 and 166,882

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Solution

The third proportional to 81,713 and 166,882 is: 340,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 166,882 = 166,882 : x
  2. Step 2: Convert to fraction form
    81,713/166,882 = 166,882/x
  3. Step 3: Cross multiply
    81,713x = 166,882 × 166,882
  4. Step 4: Simplify right side
    81,713x = 27,849,601,924
  5. Step 5: Solve for x
    x = 27,849,601,924/81,713
  6. Step 6: Final answer
    x = 340,822.17

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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.