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Finding the Third Proportional to 64,777 and 140,950

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Solution

The third proportional to 64,777 and 140,950 is: 306,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,777 : 140,950 = 140,950 : x
  2. Step 2: Convert to fraction form
    64,777/140,950 = 140,950/x
  3. Step 3: Cross multiply
    64,777x = 140,950 × 140,950
  4. Step 4: Simplify right side
    64,777x = 19,866,902,500
  5. Step 5: Solve for x
    x = 19,866,902,500/64,777
  6. Step 6: Final answer
    x = 306,696.86

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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.