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Finding the Third Proportional to 55,684.13 and 123,791.63

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Solution

The third proportional to 55,684.13 and 123,791.63 is: 275,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.13 : 123,791.63 = 123,791.63 : x
  2. Step 2: Convert to fraction form
    55,684.13/123,791.63 = 123,791.63/x
  3. Step 3: Cross multiply
    55,684.13x = 123,791.63 × 123,791.63
  4. Step 4: Simplify right side
    55,684.13x = 15,324,366,420.14
  5. Step 5: Solve for x
    x = 15,324,366,420.14/55,684.13
  6. Step 6: Final answer
    x = 275,201.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.