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Finding the Third Proportional to 106,808 and 150,244

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Solution

The third proportional to 106,808 and 150,244 is: 211,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,808 : 150,244 = 150,244 : x
  2. Step 2: Convert to fraction form
    106,808/150,244 = 150,244/x
  3. Step 3: Cross multiply
    106,808x = 150,244 × 150,244
  4. Step 4: Simplify right side
    106,808x = 22,573,259,536
  5. Step 5: Solve for x
    x = 22,573,259,536/106,808
  6. Step 6: Final answer
    x = 211,344.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.