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Finding the Third Proportional to 50,739.75 and 109,609.75

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Solution

The third proportional to 50,739.75 and 109,609.75 is: 236,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,739.75 : 109,609.75 = 109,609.75 : x
  2. Step 2: Convert to fraction form
    50,739.75/109,609.75 = 109,609.75/x
  3. Step 3: Cross multiply
    50,739.75x = 109,609.75 × 109,609.75
  4. Step 4: Simplify right side
    50,739.75x = 12,014,297,295.06
  5. Step 5: Solve for x
    x = 12,014,297,295.06/50,739.75
  6. Step 6: Final answer
    x = 236,782.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.