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Finding the Third Proportional to 89,616 and 133,944

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Solution

The third proportional to 89,616 and 133,944 is: 200,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,616 : 133,944 = 133,944 : x
  2. Step 2: Convert to fraction form
    89,616/133,944 = 133,944/x
  3. Step 3: Cross multiply
    89,616x = 133,944 × 133,944
  4. Step 4: Simplify right side
    89,616x = 17,940,995,136
  5. Step 5: Solve for x
    x = 17,940,995,136/89,616
  6. Step 6: Final answer
    x = 200,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.