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Finding the Third Proportional to 87,274.69 and 133,450.31

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Solution

The third proportional to 87,274.69 and 133,450.31 is: 204,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,274.69 : 133,450.31 = 133,450.31 : x
  2. Step 2: Convert to fraction form
    87,274.69/133,450.31 = 133,450.31/x
  3. Step 3: Cross multiply
    87,274.69x = 133,450.31 × 133,450.31
  4. Step 4: Simplify right side
    87,274.69x = 17,808,985,906.35
  5. Step 5: Solve for x
    x = 17,808,985,906.35/87,274.69
  6. Step 6: Final answer
    x = 204,056.71

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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.