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Finding the Third Proportional to 87,169.50 and 189,006

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Solution

The third proportional to 87,169.50 and 189,006 is: 409,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,169.50 : 189,006 = 189,006 : x
  2. Step 2: Convert to fraction form
    87,169.50/189,006 = 189,006/x
  3. Step 3: Cross multiply
    87,169.50x = 189,006 × 189,006
  4. Step 4: Simplify right side
    87,169.50x = 35,723,268,036
  5. Step 5: Solve for x
    x = 35,723,268,036/87,169.50
  6. Step 6: Final answer
    x = 409,813.85

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Why These Related Problems?

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