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Finding the Third Proportional to 33,544 and 69,252

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Solution

The third proportional to 33,544 and 69,252 is: 142,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,544 : 69,252 = 69,252 : x
  2. Step 2: Convert to fraction form
    33,544/69,252 = 69,252/x
  3. Step 3: Cross multiply
    33,544x = 69,252 × 69,252
  4. Step 4: Simplify right side
    33,544x = 4,795,839,504
  5. Step 5: Solve for x
    x = 4,795,839,504/33,544
  6. Step 6: Final answer
    x = 142,971.60

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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.