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Finding the Third Proportional to 126,412.88 and 189,261.56

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Solution

The third proportional to 126,412.88 and 189,261.56 is: 283,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,412.88 : 189,261.56 = 189,261.56 : x
  2. Step 2: Convert to fraction form
    126,412.88/189,261.56 = 189,261.56/x
  3. Step 3: Cross multiply
    126,412.88x = 189,261.56 × 189,261.56
  4. Step 4: Simplify right side
    126,412.88x = 35,819,939,039.94
  5. Step 5: Solve for x
    x = 35,819,939,039.94/126,412.88
  6. Step 6: Final answer
    x = 283,356.73

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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.