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Finding the Third Proportional to 64,072.27 and 95,578.73

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Solution

The third proportional to 64,072.27 and 95,578.73 is: 142,577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,072.27 : 95,578.73 = 95,578.73 : x
  2. Step 2: Convert to fraction form
    64,072.27/95,578.73 = 95,578.73/x
  3. Step 3: Cross multiply
    64,072.27x = 95,578.73 × 95,578.73
  4. Step 4: Simplify right side
    64,072.27x = 9,135,294,464.73
  5. Step 5: Solve for x
    x = 9,135,294,464.73/64,072.27
  6. Step 6: Final answer
    x = 142,577.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.