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Finding the Third Proportional to 101,794 and 146,616

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Solution

The third proportional to 101,794 and 146,616 is: 211,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,794 : 146,616 = 146,616 : x
  2. Step 2: Convert to fraction form
    101,794/146,616 = 146,616/x
  3. Step 3: Cross multiply
    101,794x = 146,616 × 146,616
  4. Step 4: Simplify right side
    101,794x = 21,496,251,456
  5. Step 5: Solve for x
    x = 21,496,251,456/101,794
  6. Step 6: Final answer
    x = 211,174.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.