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Finding the Third Proportional to 34,794 and 82,121

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Solution

The third proportional to 34,794 and 82,121 is: 193,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794 : 82,121 = 82,121 : x
  2. Step 2: Convert to fraction form
    34,794/82,121 = 82,121/x
  3. Step 3: Cross multiply
    34,794x = 82,121 × 82,121
  4. Step 4: Simplify right side
    34,794x = 6,743,858,641
  5. Step 5: Solve for x
    x = 6,743,858,641/34,794
  6. Step 6: Final answer
    x = 193,822.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.