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Finding the Third Proportional to 89,329.50 and 189,027

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Solution

The third proportional to 89,329.50 and 189,027 is: 399,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,329.50 : 189,027 = 189,027 : x
  2. Step 2: Convert to fraction form
    89,329.50/189,027 = 189,027/x
  3. Step 3: Cross multiply
    89,329.50x = 189,027 × 189,027
  4. Step 4: Simplify right side
    89,329.50x = 35,731,206,729
  5. Step 5: Solve for x
    x = 35,731,206,729/89,329.50
  6. Step 6: Final answer
    x = 399,993.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.