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Finding the Third Proportional to 33,754 and 74,420

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Solution

The third proportional to 33,754 and 74,420 is: 164,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,754 : 74,420 = 74,420 : x
  2. Step 2: Convert to fraction form
    33,754/74,420 = 74,420/x
  3. Step 3: Cross multiply
    33,754x = 74,420 × 74,420
  4. Step 4: Simplify right side
    33,754x = 5,538,336,400
  5. Step 5: Solve for x
    x = 5,538,336,400/33,754
  6. Step 6: Final answer
    x = 164,079.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.