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Finding the Third Proportional to 55,235.25 and 115,391.25

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Solution

The third proportional to 55,235.25 and 115,391.25 is: 241,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,235.25 : 115,391.25 = 115,391.25 : x
  2. Step 2: Convert to fraction form
    55,235.25/115,391.25 = 115,391.25/x
  3. Step 3: Cross multiply
    55,235.25x = 115,391.25 × 115,391.25
  4. Step 4: Simplify right side
    55,235.25x = 13,315,140,576.56
  5. Step 5: Solve for x
    x = 13,315,140,576.56/55,235.25
  6. Step 6: Final answer
    x = 241,062.38

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.