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Finding the Third Proportional to 56,183.75 and 120,363.25

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Solution

The third proportional to 56,183.75 and 120,363.25 is: 257,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,183.75 : 120,363.25 = 120,363.25 : x
  2. Step 2: Convert to fraction form
    56,183.75/120,363.25 = 120,363.25/x
  3. Step 3: Cross multiply
    56,183.75x = 120,363.25 × 120,363.25
  4. Step 4: Simplify right side
    56,183.75x = 14,487,311,950.56
  5. Step 5: Solve for x
    x = 14,487,311,950.56/56,183.75
  6. Step 6: Final answer
    x = 257,855.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.