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Finding the Third Proportional to 39,204 and 85,914

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Solution

The third proportional to 39,204 and 85,914 is: 188,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 85,914 = 85,914 : x
  2. Step 2: Convert to fraction form
    39,204/85,914 = 85,914/x
  3. Step 3: Cross multiply
    39,204x = 85,914 × 85,914
  4. Step 4: Simplify right side
    39,204x = 7,381,215,396
  5. Step 5: Solve for x
    x = 7,381,215,396/39,204
  6. Step 6: Final answer
    x = 188,277.10

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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.