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Finding the Third Proportional to 49,037 and 105,852

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Solution

The third proportional to 49,037 and 105,852 is: 228,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,037 : 105,852 = 105,852 : x
  2. Step 2: Convert to fraction form
    49,037/105,852 = 105,852/x
  3. Step 3: Cross multiply
    49,037x = 105,852 × 105,852
  4. Step 4: Simplify right side
    49,037x = 11,204,645,904
  5. Step 5: Solve for x
    x = 11,204,645,904/49,037
  6. Step 6: Final answer
    x = 228,493.71

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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.