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Finding the Third Proportional to 87,074 and 193,576

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Solution

The third proportional to 87,074 and 193,576 is: 430,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,074 : 193,576 = 193,576 : x
  2. Step 2: Convert to fraction form
    87,074/193,576 = 193,576/x
  3. Step 3: Cross multiply
    87,074x = 193,576 × 193,576
  4. Step 4: Simplify right side
    87,074x = 37,471,667,776
  5. Step 5: Solve for x
    x = 37,471,667,776/87,074
  6. Step 6: Final answer
    x = 430,342.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.