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Finding the Third Proportional to 40,206 and 87,914

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Solution

The third proportional to 40,206 and 87,914 is: 192,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,206 : 87,914 = 87,914 : x
  2. Step 2: Convert to fraction form
    40,206/87,914 = 87,914/x
  3. Step 3: Cross multiply
    40,206x = 87,914 × 87,914
  4. Step 4: Simplify right side
    40,206x = 7,728,871,396
  5. Step 5: Solve for x
    x = 7,728,871,396/40,206
  6. Step 6: Final answer
    x = 192,231.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.