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Finding the Third Proportional to 52,183.13 and 111,745.13

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Solution

The third proportional to 52,183.13 and 111,745.13 is: 239,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,183.13 : 111,745.13 = 111,745.13 : x
  2. Step 2: Convert to fraction form
    52,183.13/111,745.13 = 111,745.13/x
  3. Step 3: Cross multiply
    52,183.13x = 111,745.13 × 111,745.13
  4. Step 4: Simplify right side
    52,183.13x = 12,486,972,961.27
  5. Step 5: Solve for x
    x = 12,486,972,961.27/52,183.13
  6. Step 6: Final answer
    x = 239,291.40

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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.