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Finding the Third Proportional to 126,758.25 and 189,742.50

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Solution

The third proportional to 126,758.25 and 189,742.50 is: 284,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,758.25 : 189,742.50 = 189,742.50 : x
  2. Step 2: Convert to fraction form
    126,758.25/189,742.50 = 189,742.50/x
  3. Step 3: Cross multiply
    126,758.25x = 189,742.50 × 189,742.50
  4. Step 4: Simplify right side
    126,758.25x = 36,002,216,306.25
  5. Step 5: Solve for x
    x = 36,002,216,306.25/126,758.25
  6. Step 6: Final answer
    x = 284,022.67

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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.