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Finding the Third Proportional to 49,493.25 and 110,027.25

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Solution

The third proportional to 49,493.25 and 110,027.25 is: 244,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,493.25 : 110,027.25 = 110,027.25 : x
  2. Step 2: Convert to fraction form
    49,493.25/110,027.25 = 110,027.25/x
  3. Step 3: Cross multiply
    49,493.25x = 110,027.25 × 110,027.25
  4. Step 4: Simplify right side
    49,493.25x = 12,105,995,742.56
  5. Step 5: Solve for x
    x = 12,105,995,742.56/49,493.25
  6. Step 6: Final answer
    x = 244,598.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.