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Finding the Third Proportional to 119,744 and 179,616

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Solution

The third proportional to 119,744 and 179,616 is: 269,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,744 : 179,616 = 179,616 : x
  2. Step 2: Convert to fraction form
    119,744/179,616 = 179,616/x
  3. Step 3: Cross multiply
    119,744x = 179,616 × 179,616
  4. Step 4: Simplify right side
    119,744x = 32,261,907,456
  5. Step 5: Solve for x
    x = 32,261,907,456/119,744
  6. Step 6: Final answer
    x = 269,424

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.