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Finding the Third Proportional to 64,757 and 140,908

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Solution

The third proportional to 64,757 and 140,908 is: 306,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,757 : 140,908 = 140,908 : x
  2. Step 2: Convert to fraction form
    64,757/140,908 = 140,908/x
  3. Step 3: Cross multiply
    64,757x = 140,908 × 140,908
  4. Step 4: Simplify right side
    64,757x = 19,855,064,464
  5. Step 5: Solve for x
    x = 19,855,064,464/64,757
  6. Step 6: Final answer
    x = 306,608.78

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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.