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Finding the Third Proportional to 56,676.75 and 83,286.75

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Solution

The third proportional to 56,676.75 and 83,286.75 is: 122,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,676.75 : 83,286.75 = 83,286.75 : x
  2. Step 2: Convert to fraction form
    56,676.75/83,286.75 = 83,286.75/x
  3. Step 3: Cross multiply
    56,676.75x = 83,286.75 × 83,286.75
  4. Step 4: Simplify right side
    56,676.75x = 6,936,682,725.56
  5. Step 5: Solve for x
    x = 6,936,682,725.56/56,676.75
  6. Step 6: Final answer
    x = 122,390.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.