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Finding the Third Proportional to 89,112 and 191,616

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Solution

The third proportional to 89,112 and 191,616 is: 412,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,112 : 191,616 = 191,616 : x
  2. Step 2: Convert to fraction form
    89,112/191,616 = 191,616/x
  3. Step 3: Cross multiply
    89,112x = 191,616 × 191,616
  4. Step 4: Simplify right side
    89,112x = 36,716,691,456
  5. Step 5: Solve for x
    x = 36,716,691,456/89,112
  6. Step 6: Final answer
    x = 412,028.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.