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Finding the Third Proportional to 39,249.56 and 85,963.78

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Solution

The third proportional to 39,249.56 and 85,963.78 is: 188,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,249.56 : 85,963.78 = 85,963.78 : x
  2. Step 2: Convert to fraction form
    39,249.56/85,963.78 = 85,963.78/x
  3. Step 3: Cross multiply
    39,249.56x = 85,963.78 × 85,963.78
  4. Step 4: Simplify right side
    39,249.56x = 7,389,771,686.80
  5. Step 5: Solve for x
    x = 7,389,771,686.80/39,249.56
  6. Step 6: Final answer
    x = 188,276.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.