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Finding the Third Proportional to 41,505 and 91,733

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Solution

The third proportional to 41,505 and 91,733 is: 202,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505 : 91,733 = 91,733 : x
  2. Step 2: Convert to fraction form
    41,505/91,733 = 91,733/x
  3. Step 3: Cross multiply
    41,505x = 91,733 × 91,733
  4. Step 4: Simplify right side
    41,505x = 8,414,943,289
  5. Step 5: Solve for x
    x = 8,414,943,289/41,505
  6. Step 6: Final answer
    x = 202,745.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.