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Finding the Third Proportional to 75,747.50 and 112,163.25

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Solution

The third proportional to 75,747.50 and 112,163.25 is: 166,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,747.50 : 112,163.25 = 112,163.25 : x
  2. Step 2: Convert to fraction form
    75,747.50/112,163.25 = 112,163.25/x
  3. Step 3: Cross multiply
    75,747.50x = 112,163.25 × 112,163.25
  4. Step 4: Simplify right side
    75,747.50x = 12,580,594,650.56
  5. Step 5: Solve for x
    x = 12,580,594,650.56/75,747.50
  6. Step 6: Final answer
    x = 166,085.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.