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Finding the Third Proportional to 87,793.50 and 189,627

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Solution

The third proportional to 87,793.50 and 189,627 is: 409,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,793.50 : 189,627 = 189,627 : x
  2. Step 2: Convert to fraction form
    87,793.50/189,627 = 189,627/x
  3. Step 3: Cross multiply
    87,793.50x = 189,627 × 189,627
  4. Step 4: Simplify right side
    87,793.50x = 35,958,399,129
  5. Step 5: Solve for x
    x = 35,958,399,129/87,793.50
  6. Step 6: Final answer
    x = 409,579.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.