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Finding the Third Proportional to 69,758 and 150,694

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Solution

The third proportional to 69,758 and 150,694 is: 325,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,758 : 150,694 = 150,694 : x
  2. Step 2: Convert to fraction form
    69,758/150,694 = 150,694/x
  3. Step 3: Cross multiply
    69,758x = 150,694 × 150,694
  4. Step 4: Simplify right side
    69,758x = 22,708,681,636
  5. Step 5: Solve for x
    x = 22,708,681,636/69,758
  6. Step 6: Final answer
    x = 325,535.16

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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.