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Finding the Third Proportional to 76,792.75 and 120,205.27

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Solution

The third proportional to 76,792.75 and 120,205.27 is: 188,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,792.75 : 120,205.27 = 120,205.27 : x
  2. Step 2: Convert to fraction form
    76,792.75/120,205.27 = 120,205.27/x
  3. Step 3: Cross multiply
    76,792.75x = 120,205.27 × 120,205.27
  4. Step 4: Simplify right side
    76,792.75x = 14,449,305,883.98
  5. Step 5: Solve for x
    x = 14,449,305,883.98/76,792.75
  6. Step 6: Final answer
    x = 188,159.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.