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Finding the Third Proportional to 53,942.50 and 110,027

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Solution

The third proportional to 53,942.50 and 110,027 is: 224,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,942.50 : 110,027 = 110,027 : x
  2. Step 2: Convert to fraction form
    53,942.50/110,027 = 110,027/x
  3. Step 3: Cross multiply
    53,942.50x = 110,027 × 110,027
  4. Step 4: Simplify right side
    53,942.50x = 12,105,940,729
  5. Step 5: Solve for x
    x = 12,105,940,729/53,942.50
  6. Step 6: Final answer
    x = 224,423.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.