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Finding the Third Proportional to 56,166 and 120,795

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Solution

The third proportional to 56,166 and 120,795 is: 259,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,166 : 120,795 = 120,795 : x
  2. Step 2: Convert to fraction form
    56,166/120,795 = 120,795/x
  3. Step 3: Cross multiply
    56,166x = 120,795 × 120,795
  4. Step 4: Simplify right side
    56,166x = 14,591,432,025
  5. Step 5: Solve for x
    x = 14,591,432,025/56,166
  6. Step 6: Final answer
    x = 259,791.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.