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Finding the Third Proportional to 64,165 and 139,976

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Solution

The third proportional to 64,165 and 139,976 is: 305,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,165 : 139,976 = 139,976 : x
  2. Step 2: Convert to fraction form
    64,165/139,976 = 139,976/x
  3. Step 3: Cross multiply
    64,165x = 139,976 × 139,976
  4. Step 4: Simplify right side
    64,165x = 19,593,280,576
  5. Step 5: Solve for x
    x = 19,593,280,576/64,165
  6. Step 6: Final answer
    x = 305,357.76

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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.