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Finding the Third Proportional to 63,658 and 140,027

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Solution

The third proportional to 63,658 and 140,027 is: 308,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,658 : 140,027 = 140,027 : x
  2. Step 2: Convert to fraction form
    63,658/140,027 = 140,027/x
  3. Step 3: Cross multiply
    63,658x = 140,027 × 140,027
  4. Step 4: Simplify right side
    63,658x = 19,607,560,729
  5. Step 5: Solve for x
    x = 19,607,560,729/63,658
  6. Step 6: Final answer
    x = 308,014.09

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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.