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Finding the Third Proportional to 39,676 and 87,016

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Solution

The third proportional to 39,676 and 87,016 is: 190,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 87,016 = 87,016 : x
  2. Step 2: Convert to fraction form
    39,676/87,016 = 87,016/x
  3. Step 3: Cross multiply
    39,676x = 87,016 × 87,016
  4. Step 4: Simplify right side
    39,676x = 7,571,784,256
  5. Step 5: Solve for x
    x = 7,571,784,256/39,676
  6. Step 6: Final answer
    x = 190,840.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.