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Finding the Third Proportional to 106,722 and 150,156

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Solution

The third proportional to 106,722 and 150,156 is: 211,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722 : 150,156 = 150,156 : x
  2. Step 2: Convert to fraction form
    106,722/150,156 = 150,156/x
  3. Step 3: Cross multiply
    106,722x = 150,156 × 150,156
  4. Step 4: Simplify right side
    106,722x = 22,546,824,336
  5. Step 5: Solve for x
    x = 22,546,824,336/106,722
  6. Step 6: Final answer
    x = 211,266.88

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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.