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Finding the Third Proportional to 89,725.50 and 188,745.75

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Solution

The third proportional to 89,725.50 and 188,745.75 is: 397,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,725.50 : 188,745.75 = 188,745.75 : x
  2. Step 2: Convert to fraction form
    89,725.50/188,745.75 = 188,745.75/x
  3. Step 3: Cross multiply
    89,725.50x = 188,745.75 × 188,745.75
  4. Step 4: Simplify right side
    89,725.50x = 35,624,958,143.06
  5. Step 5: Solve for x
    x = 35,624,958,143.06/89,725.50
  6. Step 6: Final answer
    x = 397,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.