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Finding the Third Proportional to 69,758 and 150,748

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Solution

The third proportional to 69,758 and 150,748 is: 325,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,758 : 150,748 = 150,748 : x
  2. Step 2: Convert to fraction form
    69,758/150,748 = 150,748/x
  3. Step 3: Cross multiply
    69,758x = 150,748 × 150,748
  4. Step 4: Simplify right side
    69,758x = 22,724,959,504
  5. Step 5: Solve for x
    x = 22,724,959,504/69,758
  6. Step 6: Final answer
    x = 325,768.51

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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.