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Finding the Third Proportional to 63,037 and 136,238

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Solution

The third proportional to 63,037 and 136,238 is: 294,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,037 : 136,238 = 136,238 : x
  2. Step 2: Convert to fraction form
    63,037/136,238 = 136,238/x
  3. Step 3: Cross multiply
    63,037x = 136,238 × 136,238
  4. Step 4: Simplify right side
    63,037x = 18,560,792,644
  5. Step 5: Solve for x
    x = 18,560,792,644/63,037
  6. Step 6: Final answer
    x = 294,442.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.