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Finding the Third Proportional to 69,147.13 and 106,791.75

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Solution

The third proportional to 69,147.13 and 106,791.75 is: 164,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147.13 : 106,791.75 = 106,791.75 : x
  2. Step 2: Convert to fraction form
    69,147.13/106,791.75 = 106,791.75/x
  3. Step 3: Cross multiply
    69,147.13x = 106,791.75 × 106,791.75
  4. Step 4: Simplify right side
    69,147.13x = 11,404,477,868.06
  5. Step 5: Solve for x
    x = 11,404,477,868.06/69,147.13
  6. Step 6: Final answer
    x = 164,930.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.