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Finding the Third Proportional to 41,774 and 91,819

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Solution

The third proportional to 41,774 and 91,819 is: 201,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,774 : 91,819 = 91,819 : x
  2. Step 2: Convert to fraction form
    41,774/91,819 = 91,819/x
  3. Step 3: Cross multiply
    41,774x = 91,819 × 91,819
  4. Step 4: Simplify right side
    41,774x = 8,430,728,761
  5. Step 5: Solve for x
    x = 8,430,728,761/41,774
  6. Step 6: Final answer
    x = 201,817.61

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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.