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Finding the Third Proportional to 34,794 and 75,204

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Solution

The third proportional to 34,794 and 75,204 is: 162,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794 : 75,204 = 75,204 : x
  2. Step 2: Convert to fraction form
    34,794/75,204 = 75,204/x
  3. Step 3: Cross multiply
    34,794x = 75,204 × 75,204
  4. Step 4: Simplify right side
    34,794x = 5,655,641,616
  5. Step 5: Solve for x
    x = 5,655,641,616/34,794
  6. Step 6: Final answer
    x = 162,546.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.