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Finding the Third Proportional to 126,241.50 and 188,268

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Solution

The third proportional to 126,241.50 and 188,268 is: 280,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,241.50 : 188,268 = 188,268 : x
  2. Step 2: Convert to fraction form
    126,241.50/188,268 = 188,268/x
  3. Step 3: Cross multiply
    126,241.50x = 188,268 × 188,268
  4. Step 4: Simplify right side
    126,241.50x = 35,444,839,824
  5. Step 5: Solve for x
    x = 35,444,839,824/126,241.50
  6. Step 6: Final answer
    x = 280,770.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.