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Finding the Third Proportional to 89,330 and 133,899

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Solution

The third proportional to 89,330 and 133,899 is: 200,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,330 : 133,899 = 133,899 : x
  2. Step 2: Convert to fraction form
    89,330/133,899 = 133,899/x
  3. Step 3: Cross multiply
    89,330x = 133,899 × 133,899
  4. Step 4: Simplify right side
    89,330x = 17,928,942,201
  5. Step 5: Solve for x
    x = 17,928,942,201/89,330
  6. Step 6: Final answer
    x = 200,704.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.