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Finding the Third Proportional to 41,834 and 91,357

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Solution

The third proportional to 41,834 and 91,357 is: 199,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834 : 91,357 = 91,357 : x
  2. Step 2: Convert to fraction form
    41,834/91,357 = 91,357/x
  3. Step 3: Cross multiply
    41,834x = 91,357 × 91,357
  4. Step 4: Simplify right side
    41,834x = 8,346,101,449
  5. Step 5: Solve for x
    x = 8,346,101,449/41,834
  6. Step 6: Final answer
    x = 199,505.22

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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.