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Finding the Third Proportional to 68,795 and 140,505.50

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Solution

The third proportional to 68,795 and 140,505.50 is: 286,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,795 : 140,505.50 = 140,505.50 : x
  2. Step 2: Convert to fraction form
    68,795/140,505.50 = 140,505.50/x
  3. Step 3: Cross multiply
    68,795x = 140,505.50 × 140,505.50
  4. Step 4: Simplify right side
    68,795x = 19,741,795,530.25
  5. Step 5: Solve for x
    x = 19,741,795,530.25/68,795
  6. Step 6: Final answer
    x = 286,965.56

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.