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Finding the Third Proportional to 49,673 and 96,848

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Solution

The third proportional to 49,673 and 96,848 is: 188,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,673 : 96,848 = 96,848 : x
  2. Step 2: Convert to fraction form
    49,673/96,848 = 96,848/x
  3. Step 3: Cross multiply
    49,673x = 96,848 × 96,848
  4. Step 4: Simplify right side
    49,673x = 9,379,535,104
  5. Step 5: Solve for x
    x = 9,379,535,104/49,673
  6. Step 6: Final answer
    x = 188,825.62

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.