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Finding the Third Proportional to 87,758 and 171,142

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Solution

The third proportional to 87,758 and 171,142 is: 333,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,758 : 171,142 = 171,142 : x
  2. Step 2: Convert to fraction form
    87,758/171,142 = 171,142/x
  3. Step 3: Cross multiply
    87,758x = 171,142 × 171,142
  4. Step 4: Simplify right side
    87,758x = 29,289,584,164
  5. Step 5: Solve for x
    x = 29,289,584,164/87,758
  6. Step 6: Final answer
    x = 333,754.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.