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Finding the Third Proportional to 41,619 and 91,721

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Solution

The third proportional to 41,619 and 91,721 is: 202,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,619 : 91,721 = 91,721 : x
  2. Step 2: Convert to fraction form
    41,619/91,721 = 91,721/x
  3. Step 3: Cross multiply
    41,619x = 91,721 × 91,721
  4. Step 4: Simplify right side
    41,619x = 8,412,741,841
  5. Step 5: Solve for x
    x = 8,412,741,841/41,619
  6. Step 6: Final answer
    x = 202,137.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.