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Finding the Third Proportional to 126,768 and 189,756

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Solution

The third proportional to 126,768 and 189,756 is: 284,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,768 : 189,756 = 189,756 : x
  2. Step 2: Convert to fraction form
    126,768/189,756 = 189,756/x
  3. Step 3: Cross multiply
    126,768x = 189,756 × 189,756
  4. Step 4: Simplify right side
    126,768x = 36,007,339,536
  5. Step 5: Solve for x
    x = 36,007,339,536/126,768
  6. Step 6: Final answer
    x = 284,041.24

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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.