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Finding the Third Proportional to 87,450 and 193,277

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Solution

The third proportional to 87,450 and 193,277 is: 427,169.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,450 : 193,277 = 193,277 : x
  2. Step 2: Convert to fraction form
    87,450/193,277 = 193,277/x
  3. Step 3: Cross multiply
    87,450x = 193,277 × 193,277
  4. Step 4: Simplify right side
    87,450x = 37,355,998,729
  5. Step 5: Solve for x
    x = 37,355,998,729/87,450
  6. Step 6: Final answer
    x = 427,169.80

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.