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Finding the Third Proportional to 89,571.75 and 135,366

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Solution

The third proportional to 89,571.75 and 135,366 is: 204,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,571.75 : 135,366 = 135,366 : x
  2. Step 2: Convert to fraction form
    89,571.75/135,366 = 135,366/x
  3. Step 3: Cross multiply
    89,571.75x = 135,366 × 135,366
  4. Step 4: Simplify right side
    89,571.75x = 18,323,953,956
  5. Step 5: Solve for x
    x = 18,323,953,956/89,571.75
  6. Step 6: Final answer
    x = 204,572.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.