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Finding the Third Proportional to 41,692 and 98,357

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Solution

The third proportional to 41,692 and 98,357 is: 232,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,692 : 98,357 = 98,357 : x
  2. Step 2: Convert to fraction form
    41,692/98,357 = 98,357/x
  3. Step 3: Cross multiply
    41,692x = 98,357 × 98,357
  4. Step 4: Simplify right side
    41,692x = 9,674,099,449
  5. Step 5: Solve for x
    x = 9,674,099,449/41,692
  6. Step 6: Final answer
    x = 232,037.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.