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Finding the Third Proportional to 79,644 and 166,956

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Solution

The third proportional to 79,644 and 166,956 is: 349,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,644 : 166,956 = 166,956 : x
  2. Step 2: Convert to fraction form
    79,644/166,956 = 166,956/x
  3. Step 3: Cross multiply
    79,644x = 166,956 × 166,956
  4. Step 4: Simplify right side
    79,644x = 27,874,305,936
  5. Step 5: Solve for x
    x = 27,874,305,936/79,644
  6. Step 6: Final answer
    x = 349,986.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.