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Finding the Third Proportional to 39,198 and 83,238

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Solution

The third proportional to 39,198 and 83,238 is: 176,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,198 : 83,238 = 83,238 : x
  2. Step 2: Convert to fraction form
    39,198/83,238 = 83,238/x
  3. Step 3: Cross multiply
    39,198x = 83,238 × 83,238
  4. Step 4: Simplify right side
    39,198x = 6,928,564,644
  5. Step 5: Solve for x
    x = 6,928,564,644/39,198
  6. Step 6: Final answer
    x = 176,758.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.