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Finding the Third Proportional to 89,077 and 133,183

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Solution

The third proportional to 89,077 and 133,183 is: 199,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,077 : 133,183 = 133,183 : x
  2. Step 2: Convert to fraction form
    89,077/133,183 = 133,183/x
  3. Step 3: Cross multiply
    89,077x = 133,183 × 133,183
  4. Step 4: Simplify right side
    89,077x = 17,737,711,489
  5. Step 5: Solve for x
    x = 17,737,711,489/89,077
  6. Step 6: Final answer
    x = 199,127.85

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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.