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Finding the Third Proportional to 49,800 and 107,152

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Solution

The third proportional to 49,800 and 107,152 is: 230,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800 : 107,152 = 107,152 : x
  2. Step 2: Convert to fraction form
    49,800/107,152 = 107,152/x
  3. Step 3: Cross multiply
    49,800x = 107,152 × 107,152
  4. Step 4: Simplify right side
    49,800x = 11,481,551,104
  5. Step 5: Solve for x
    x = 11,481,551,104/49,800
  6. Step 6: Final answer
    x = 230,553.24

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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.