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Finding the Third Proportional to 63,771.75 and 140,118.75

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Solution

The third proportional to 63,771.75 and 140,118.75 is: 307,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,771.75 : 140,118.75 = 140,118.75 : x
  2. Step 2: Convert to fraction form
    63,771.75/140,118.75 = 140,118.75/x
  3. Step 3: Cross multiply
    63,771.75x = 140,118.75 × 140,118.75
  4. Step 4: Simplify right side
    63,771.75x = 19,633,264,101.56
  5. Step 5: Solve for x
    x = 19,633,264,101.56/63,771.75
  6. Step 6: Final answer
    x = 307,867.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.