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Finding the Third Proportional to 68,660 and 150,442

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Solution

The third proportional to 68,660 and 150,442 is: 329,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,660 : 150,442 = 150,442 : x
  2. Step 2: Convert to fraction form
    68,660/150,442 = 150,442/x
  3. Step 3: Cross multiply
    68,660x = 150,442 × 150,442
  4. Step 4: Simplify right side
    68,660x = 22,632,795,364
  5. Step 5: Solve for x
    x = 22,632,795,364/68,660
  6. Step 6: Final answer
    x = 329,635.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.