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Finding the Third Proportional to 87,269.06 and 133,441.59

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Solution

The third proportional to 87,269.06 and 133,441.59 is: 204,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,269.06 : 133,441.59 = 133,441.59 : x
  2. Step 2: Convert to fraction form
    87,269.06/133,441.59 = 133,441.59/x
  3. Step 3: Cross multiply
    87,269.06x = 133,441.59 × 133,441.59
  4. Step 4: Simplify right side
    87,269.06x = 17,806,658,942.54
  5. Step 5: Solve for x
    x = 17,806,658,942.54/87,269.06
  6. Step 6: Final answer
    x = 204,043.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.