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Finding the Third Proportional to 38,942 and 91,199

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Solution

The third proportional to 38,942 and 91,199 is: 213,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,942 : 91,199 = 91,199 : x
  2. Step 2: Convert to fraction form
    38,942/91,199 = 91,199/x
  3. Step 3: Cross multiply
    38,942x = 91,199 × 91,199
  4. Step 4: Simplify right side
    38,942x = 8,317,257,601
  5. Step 5: Solve for x
    x = 8,317,257,601/38,942
  6. Step 6: Final answer
    x = 213,580.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.