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Finding the Third Proportional to 68,578.31 and 146,667.38

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Solution

The third proportional to 68,578.31 and 146,667.38 is: 313,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,578.31 : 146,667.38 = 146,667.38 : x
  2. Step 2: Convert to fraction form
    68,578.31/146,667.38 = 146,667.38/x
  3. Step 3: Cross multiply
    68,578.31x = 146,667.38 × 146,667.38
  4. Step 4: Simplify right side
    68,578.31x = 21,511,318,889.39
  5. Step 5: Solve for x
    x = 21,511,318,889.39/68,578.31
  6. Step 6: Final answer
    x = 313,675.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.