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Finding the Third Proportional to 41,341 and 89,122

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Solution

The third proportional to 41,341 and 89,122 is: 192,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,341 : 89,122 = 89,122 : x
  2. Step 2: Convert to fraction form
    41,341/89,122 = 89,122/x
  3. Step 3: Cross multiply
    41,341x = 89,122 × 89,122
  4. Step 4: Simplify right side
    41,341x = 7,942,730,884
  5. Step 5: Solve for x
    x = 7,942,730,884/41,341
  6. Step 6: Final answer
    x = 192,127.21

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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.