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Finding the Third Proportional to 60,162 and 95,811

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Solution

The third proportional to 60,162 and 95,811 is: 152,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,162 : 95,811 = 95,811 : x
  2. Step 2: Convert to fraction form
    60,162/95,811 = 95,811/x
  3. Step 3: Cross multiply
    60,162x = 95,811 × 95,811
  4. Step 4: Simplify right side
    60,162x = 9,179,747,721
  5. Step 5: Solve for x
    x = 9,179,747,721/60,162
  6. Step 6: Final answer
    x = 152,583.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.