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Finding the Third Proportional to 64,936 and 139,736

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Solution

The third proportional to 64,936 and 139,736 is: 300,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936 : 139,736 = 139,736 : x
  2. Step 2: Convert to fraction form
    64,936/139,736 = 139,736/x
  3. Step 3: Cross multiply
    64,936x = 139,736 × 139,736
  4. Step 4: Simplify right side
    64,936x = 19,526,149,696
  5. Step 5: Solve for x
    x = 19,526,149,696/64,936
  6. Step 6: Final answer
    x = 300,698.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.