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Finding the Third Proportional to 89,868 and 119,249

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Solution

The third proportional to 89,868 and 119,249 is: 158,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,868 : 119,249 = 119,249 : x
  2. Step 2: Convert to fraction form
    89,868/119,249 = 119,249/x
  3. Step 3: Cross multiply
    89,868x = 119,249 × 119,249
  4. Step 4: Simplify right side
    89,868x = 14,220,324,001
  5. Step 5: Solve for x
    x = 14,220,324,001/89,868
  6. Step 6: Final answer
    x = 158,235.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.