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Finding the Third Proportional to 41,234 and 91,912

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Solution

The third proportional to 41,234 and 91,912 is: 204,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234 : 91,912 = 91,912 : x
  2. Step 2: Convert to fraction form
    41,234/91,912 = 91,912/x
  3. Step 3: Cross multiply
    41,234x = 91,912 × 91,912
  4. Step 4: Simplify right side
    41,234x = 8,447,815,744
  5. Step 5: Solve for x
    x = 8,447,815,744/41,234
  6. Step 6: Final answer
    x = 204,875.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.