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Finding the Third Proportional to 69,149 and 140,836.50

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Solution

The third proportional to 69,149 and 140,836.50 is: 286,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,149 : 140,836.50 = 140,836.50 : x
  2. Step 2: Convert to fraction form
    69,149/140,836.50 = 140,836.50/x
  3. Step 3: Cross multiply
    69,149x = 140,836.50 × 140,836.50
  4. Step 4: Simplify right side
    69,149x = 19,834,919,732.25
  5. Step 5: Solve for x
    x = 19,834,919,732.25/69,149
  6. Step 6: Final answer
    x = 286,843.19

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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.