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Finding the Third Proportional to 41,508 and 91,738

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Solution

The third proportional to 41,508 and 91,738 is: 202,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508 : 91,738 = 91,738 : x
  2. Step 2: Convert to fraction form
    41,508/91,738 = 91,738/x
  3. Step 3: Cross multiply
    41,508x = 91,738 × 91,738
  4. Step 4: Simplify right side
    41,508x = 8,415,860,644
  5. Step 5: Solve for x
    x = 8,415,860,644/41,508
  6. Step 6: Final answer
    x = 202,752.74

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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.