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Finding the Third Proportional to 33,277 and 72,718

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Solution

The third proportional to 33,277 and 72,718 is: 158,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277 : 72,718 = 72,718 : x
  2. Step 2: Convert to fraction form
    33,277/72,718 = 72,718/x
  3. Step 3: Cross multiply
    33,277x = 72,718 × 72,718
  4. Step 4: Simplify right side
    33,277x = 5,287,907,524
  5. Step 5: Solve for x
    x = 5,287,907,524/33,277
  6. Step 6: Final answer
    x = 158,905.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.