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Finding the Third Proportional to 50,992.25 and 110,459.25

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Solution

The third proportional to 50,992.25 and 110,459.25 is: 239,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,992.25 : 110,459.25 = 110,459.25 : x
  2. Step 2: Convert to fraction form
    50,992.25/110,459.25 = 110,459.25/x
  3. Step 3: Cross multiply
    50,992.25x = 110,459.25 × 110,459.25
  4. Step 4: Simplify right side
    50,992.25x = 12,201,245,910.56
  5. Step 5: Solve for x
    x = 12,201,245,910.56/50,992.25
  6. Step 6: Final answer
    x = 239,276.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.