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Finding the Third Proportional to 33,954 and 81,301

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Solution

The third proportional to 33,954 and 81,301 is: 194,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954 : 81,301 = 81,301 : x
  2. Step 2: Convert to fraction form
    33,954/81,301 = 81,301/x
  3. Step 3: Cross multiply
    33,954x = 81,301 × 81,301
  4. Step 4: Simplify right side
    33,954x = 6,609,852,601
  5. Step 5: Solve for x
    x = 6,609,852,601/33,954
  6. Step 6: Final answer
    x = 194,670.81

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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.