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Finding the Third Proportional to 41,340 and 89,112

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Solution

The third proportional to 41,340 and 89,112 is: 192,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,340 : 89,112 = 89,112 : x
  2. Step 2: Convert to fraction form
    41,340/89,112 = 89,112/x
  3. Step 3: Cross multiply
    41,340x = 89,112 × 89,112
  4. Step 4: Simplify right side
    41,340x = 7,940,948,544
  5. Step 5: Solve for x
    x = 7,940,948,544/41,340
  6. Step 6: Final answer
    x = 192,088.74

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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.