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Finding the Third Proportional to 76,800 and 120,216

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Solution

The third proportional to 76,800 and 120,216 is: 188,175.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 120,216 = 120,216 : x
  2. Step 2: Convert to fraction form
    76,800/120,216 = 120,216/x
  3. Step 3: Cross multiply
    76,800x = 120,216 × 120,216
  4. Step 4: Simplify right side
    76,800x = 14,451,886,656
  5. Step 5: Solve for x
    x = 14,451,886,656/76,800
  6. Step 6: Final answer
    x = 188,175.61

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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.