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Finding the Third Proportional to 133,022.25 and 199,536.75

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Solution

The third proportional to 133,022.25 and 199,536.75 is: 299,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.25 : 199,536.75 = 199,536.75 : x
  2. Step 2: Convert to fraction form
    133,022.25/199,536.75 = 199,536.75/x
  3. Step 3: Cross multiply
    133,022.25x = 199,536.75 × 199,536.75
  4. Step 4: Simplify right side
    133,022.25x = 39,814,914,600.56
  5. Step 5: Solve for x
    x = 39,814,914,600.56/133,022.25
  6. Step 6: Final answer
    x = 299,310.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.