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Finding the Third Proportional to 56,183.16 and 120,704.11

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Solution

The third proportional to 56,183.16 and 120,704.11 is: 259,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,183.16 : 120,704.11 = 120,704.11 : x
  2. Step 2: Convert to fraction form
    56,183.16/120,704.11 = 120,704.11/x
  3. Step 3: Cross multiply
    56,183.16x = 120,704.11 × 120,704.11
  4. Step 4: Simplify right side
    56,183.16x = 14,569,482,020.01
  5. Step 5: Solve for x
    x = 14,569,482,020.01/56,183.16
  6. Step 6: Final answer
    x = 259,321.17

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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.