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Finding the Third Proportional to 41,963 and 91,230

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Solution

The third proportional to 41,963 and 91,230 is: 198,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,963 : 91,230 = 91,230 : x
  2. Step 2: Convert to fraction form
    41,963/91,230 = 91,230/x
  3. Step 3: Cross multiply
    41,963x = 91,230 × 91,230
  4. Step 4: Simplify right side
    41,963x = 8,322,912,900
  5. Step 5: Solve for x
    x = 8,322,912,900/41,963
  6. Step 6: Final answer
    x = 198,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.