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Finding the Third Proportional to 41,879 and 91,145

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Solution

The third proportional to 41,879 and 91,145 is: 198,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,879 : 91,145 = 91,145 : x
  2. Step 2: Convert to fraction form
    41,879/91,145 = 91,145/x
  3. Step 3: Cross multiply
    41,879x = 91,145 × 91,145
  4. Step 4: Simplify right side
    41,879x = 8,307,411,025
  5. Step 5: Solve for x
    x = 8,307,411,025/41,879
  6. Step 6: Final answer
    x = 198,366.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.