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Finding the Third Proportional to 41,676 and 87,708

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Solution

The third proportional to 41,676 and 87,708 is: 184,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,676 : 87,708 = 87,708 : x
  2. Step 2: Convert to fraction form
    41,676/87,708 = 87,708/x
  3. Step 3: Cross multiply
    41,676x = 87,708 × 87,708
  4. Step 4: Simplify right side
    41,676x = 7,692,693,264
  5. Step 5: Solve for x
    x = 7,692,693,264/41,676
  6. Step 6: Final answer
    x = 184,583.29

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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.