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Finding the Third Proportional to 41,728 and 91,340

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Solution

The third proportional to 41,728 and 91,340 is: 199,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728 : 91,340 = 91,340 : x
  2. Step 2: Convert to fraction form
    41,728/91,340 = 91,340/x
  3. Step 3: Cross multiply
    41,728x = 91,340 × 91,340
  4. Step 4: Simplify right side
    41,728x = 8,342,995,600
  5. Step 5: Solve for x
    x = 8,342,995,600/41,728
  6. Step 6: Final answer
    x = 199,937.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.