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Finding the Third Proportional to 67,606 and 150,764

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Solution

The third proportional to 67,606 and 150,764 is: 336,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,606 : 150,764 = 150,764 : x
  2. Step 2: Convert to fraction form
    67,606/150,764 = 150,764/x
  3. Step 3: Cross multiply
    67,606x = 150,764 × 150,764
  4. Step 4: Simplify right side
    67,606x = 22,729,783,696
  5. Step 5: Solve for x
    x = 22,729,783,696/67,606
  6. Step 6: Final answer
    x = 336,209.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.