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Finding the Third Proportional to 41,659 and 87,674

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Solution

The third proportional to 41,659 and 87,674 is: 184,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659 : 87,674 = 87,674 : x
  2. Step 2: Convert to fraction form
    41,659/87,674 = 87,674/x
  3. Step 3: Cross multiply
    41,659x = 87,674 × 87,674
  4. Step 4: Simplify right side
    41,659x = 7,686,730,276
  5. Step 5: Solve for x
    x = 7,686,730,276/41,659
  6. Step 6: Final answer
    x = 184,515.48

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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.