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Finding the Third Proportional to 64,760 and 140,914

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Solution

The third proportional to 64,760 and 140,914 is: 306,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,760 : 140,914 = 140,914 : x
  2. Step 2: Convert to fraction form
    64,760/140,914 = 140,914/x
  3. Step 3: Cross multiply
    64,760x = 140,914 × 140,914
  4. Step 4: Simplify right side
    64,760x = 19,856,755,396
  5. Step 5: Solve for x
    x = 19,856,755,396/64,760
  6. Step 6: Final answer
    x = 306,620.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.