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Finding the Third Proportional to 34,139.25 and 69,918.75

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Solution

The third proportional to 34,139.25 and 69,918.75 is: 143,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,139.25 : 69,918.75 = 69,918.75 : x
  2. Step 2: Convert to fraction form
    34,139.25/69,918.75 = 69,918.75/x
  3. Step 3: Cross multiply
    34,139.25x = 69,918.75 × 69,918.75
  4. Step 4: Simplify right side
    34,139.25x = 4,888,631,601.56
  5. Step 5: Solve for x
    x = 4,888,631,601.56/34,139.25
  6. Step 6: Final answer
    x = 143,196.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.