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Finding the Third Proportional to 89,162 and 133,761

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Solution

The third proportional to 89,162 and 133,761 is: 200,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,162 : 133,761 = 133,761 : x
  2. Step 2: Convert to fraction form
    89,162/133,761 = 133,761/x
  3. Step 3: Cross multiply
    89,162x = 133,761 × 133,761
  4. Step 4: Simplify right side
    89,162x = 17,892,005,121
  5. Step 5: Solve for x
    x = 17,892,005,121/89,162
  6. Step 6: Final answer
    x = 200,668.50

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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.