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Finding the Third Proportional to 41,880 and 91,277

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Solution

The third proportional to 41,880 and 91,277 is: 198,937.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,880 : 91,277 = 91,277 : x
  2. Step 2: Convert to fraction form
    41,880/91,277 = 91,277/x
  3. Step 3: Cross multiply
    41,880x = 91,277 × 91,277
  4. Step 4: Simplify right side
    41,880x = 8,331,490,729
  5. Step 5: Solve for x
    x = 8,331,490,729/41,880
  6. Step 6: Final answer
    x = 198,937.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.