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Finding the Third Proportional to 97,086 and 150,811

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Solution

The third proportional to 97,086 and 150,811 is: 234,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,086 : 150,811 = 150,811 : x
  2. Step 2: Convert to fraction form
    97,086/150,811 = 150,811/x
  3. Step 3: Cross multiply
    97,086x = 150,811 × 150,811
  4. Step 4: Simplify right side
    97,086x = 22,743,957,721
  5. Step 5: Solve for x
    x = 22,743,957,721/97,086
  6. Step 6: Final answer
    x = 234,266.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.