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Finding the Third Proportional to 126,759.94 and 189,745.03

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Solution

The third proportional to 126,759.94 and 189,745.03 is: 284,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,759.94 : 189,745.03 = 189,745.03 : x
  2. Step 2: Convert to fraction form
    126,759.94/189,745.03 = 189,745.03/x
  3. Step 3: Cross multiply
    126,759.94x = 189,745.03 × 189,745.03
  4. Step 4: Simplify right side
    126,759.94x = 36,003,176,884.06
  5. Step 5: Solve for x
    x = 36,003,176,884.06/126,759.94
  6. Step 6: Final answer
    x = 284,026.46

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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.