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Finding the Third Proportional to 63,976 and 137,204

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Solution

The third proportional to 63,976 and 137,204 is: 294,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,976 : 137,204 = 137,204 : x
  2. Step 2: Convert to fraction form
    63,976/137,204 = 137,204/x
  3. Step 3: Cross multiply
    63,976x = 137,204 × 137,204
  4. Step 4: Simplify right side
    63,976x = 18,824,937,616
  5. Step 5: Solve for x
    x = 18,824,937,616/63,976
  6. Step 6: Final answer
    x = 294,249.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.