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Finding the Third Proportional to 33,335 and 68,554

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Solution

The third proportional to 33,335 and 68,554 is: 140,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,335 : 68,554 = 68,554 : x
  2. Step 2: Convert to fraction form
    33,335/68,554 = 68,554/x
  3. Step 3: Cross multiply
    33,335x = 68,554 × 68,554
  4. Step 4: Simplify right side
    33,335x = 4,699,650,916
  5. Step 5: Solve for x
    x = 4,699,650,916/33,335
  6. Step 6: Final answer
    x = 140,982.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.