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Finding the Third Proportional to 33,188 and 68,098

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Solution

The third proportional to 33,188 and 68,098 is: 139,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188 : 68,098 = 68,098 : x
  2. Step 2: Convert to fraction form
    33,188/68,098 = 68,098/x
  3. Step 3: Cross multiply
    33,188x = 68,098 × 68,098
  4. Step 4: Simplify right side
    33,188x = 4,637,337,604
  5. Step 5: Solve for x
    x = 4,637,337,604/33,188
  6. Step 6: Final answer
    x = 139,729.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.