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Finding the Third Proportional to 63,843 and 137,163

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Solution

The third proportional to 63,843 and 137,163 is: 294,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,843 : 137,163 = 137,163 : x
  2. Step 2: Convert to fraction form
    63,843/137,163 = 137,163/x
  3. Step 3: Cross multiply
    63,843x = 137,163 × 137,163
  4. Step 4: Simplify right side
    63,843x = 18,813,688,569
  5. Step 5: Solve for x
    x = 18,813,688,569/63,843
  6. Step 6: Final answer
    x = 294,686.79

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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.