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Finding the Third Proportional to 95,845.50 and 138,027

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Solution

The third proportional to 95,845.50 and 138,027 is: 198,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,845.50 : 138,027 = 138,027 : x
  2. Step 2: Convert to fraction form
    95,845.50/138,027 = 138,027/x
  3. Step 3: Cross multiply
    95,845.50x = 138,027 × 138,027
  4. Step 4: Simplify right side
    95,845.50x = 19,051,452,729
  5. Step 5: Solve for x
    x = 19,051,452,729/95,845.50
  6. Step 6: Final answer
    x = 198,772.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.