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Finding the Third Proportional to 63,836 and 137,149

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Solution

The third proportional to 63,836 and 137,149 is: 294,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,836 : 137,149 = 137,149 : x
  2. Step 2: Convert to fraction form
    63,836/137,149 = 137,149/x
  3. Step 3: Cross multiply
    63,836x = 137,149 × 137,149
  4. Step 4: Simplify right side
    63,836x = 18,809,848,201
  5. Step 5: Solve for x
    x = 18,809,848,201/63,836
  6. Step 6: Final answer
    x = 294,658.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.