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Finding the Third Proportional to 64,154 and 139,936

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Solution

The third proportional to 64,154 and 139,936 is: 305,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,154 : 139,936 = 139,936 : x
  2. Step 2: Convert to fraction form
    64,154/139,936 = 139,936/x
  3. Step 3: Cross multiply
    64,154x = 139,936 × 139,936
  4. Step 4: Simplify right side
    64,154x = 19,582,084,096
  5. Step 5: Solve for x
    x = 19,582,084,096/64,154
  6. Step 6: Final answer
    x = 305,235.59

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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.