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Finding the Third Proportional to 87,453 and 189,450

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Solution

The third proportional to 87,453 and 189,450 is: 410,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,453 : 189,450 = 189,450 : x
  2. Step 2: Convert to fraction form
    87,453/189,450 = 189,450/x
  3. Step 3: Cross multiply
    87,453x = 189,450 × 189,450
  4. Step 4: Simplify right side
    87,453x = 35,891,302,500
  5. Step 5: Solve for x
    x = 35,891,302,500/87,453
  6. Step 6: Final answer
    x = 410,406.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.