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Finding the Third Proportional to 41,418 and 89,394

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Solution

The third proportional to 41,418 and 89,394 is: 192,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,418 : 89,394 = 89,394 : x
  2. Step 2: Convert to fraction form
    41,418/89,394 = 89,394/x
  3. Step 3: Cross multiply
    41,418x = 89,394 × 89,394
  4. Step 4: Simplify right side
    41,418x = 7,991,287,236
  5. Step 5: Solve for x
    x = 7,991,287,236/41,418
  6. Step 6: Final answer
    x = 192,942.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.