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Finding the Third Proportional to 33,329 and 79,683

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Solution

The third proportional to 33,329 and 79,683 is: 190,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,329 : 79,683 = 79,683 : x
  2. Step 2: Convert to fraction form
    33,329/79,683 = 79,683/x
  3. Step 3: Cross multiply
    33,329x = 79,683 × 79,683
  4. Step 4: Simplify right side
    33,329x = 6,349,380,489
  5. Step 5: Solve for x
    x = 6,349,380,489/33,329
  6. Step 6: Final answer
    x = 190,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.