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Finding the Third Proportional to 69,277 and 150,685

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Solution

The third proportional to 69,277 and 150,685 is: 327,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,277 : 150,685 = 150,685 : x
  2. Step 2: Convert to fraction form
    69,277/150,685 = 150,685/x
  3. Step 3: Cross multiply
    69,277x = 150,685 × 150,685
  4. Step 4: Simplify right side
    69,277x = 22,705,969,225
  5. Step 5: Solve for x
    x = 22,705,969,225/69,277
  6. Step 6: Final answer
    x = 327,756.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.