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Finding the Third Proportional to 51,945.75 and 111,835.13

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Solution

The third proportional to 51,945.75 and 111,835.13 is: 240,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,945.75 : 111,835.13 = 111,835.13 : x
  2. Step 2: Convert to fraction form
    51,945.75/111,835.13 = 111,835.13/x
  3. Step 3: Cross multiply
    51,945.75x = 111,835.13 × 111,835.13
  4. Step 4: Simplify right side
    51,945.75x = 12,507,095,183.77
  5. Step 5: Solve for x
    x = 12,507,095,183.77/51,945.75
  6. Step 6: Final answer
    x = 240,772.25

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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.