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Finding the Third Proportional to 42,334 and 91,238

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Solution

The third proportional to 42,334 and 91,238 is: 196,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,334 : 91,238 = 91,238 : x
  2. Step 2: Convert to fraction form
    42,334/91,238 = 91,238/x
  3. Step 3: Cross multiply
    42,334x = 91,238 × 91,238
  4. Step 4: Simplify right side
    42,334x = 8,324,372,644
  5. Step 5: Solve for x
    x = 8,324,372,644/42,334
  6. Step 6: Final answer
    x = 196,635.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.