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Finding the Third Proportional to 68,906 and 166,757

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Solution

The third proportional to 68,906 and 166,757 is: 403,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,906 : 166,757 = 166,757 : x
  2. Step 2: Convert to fraction form
    68,906/166,757 = 166,757/x
  3. Step 3: Cross multiply
    68,906x = 166,757 × 166,757
  4. Step 4: Simplify right side
    68,906x = 27,807,897,049
  5. Step 5: Solve for x
    x = 27,807,897,049/68,906
  6. Step 6: Final answer
    x = 403,562.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.