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Finding the Third Proportional to 50,368.50 and 109,728

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Solution

The third proportional to 50,368.50 and 109,728 is: 239,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,368.50 : 109,728 = 109,728 : x
  2. Step 2: Convert to fraction form
    50,368.50/109,728 = 109,728/x
  3. Step 3: Cross multiply
    50,368.50x = 109,728 × 109,728
  4. Step 4: Simplify right side
    50,368.50x = 12,040,233,984
  5. Step 5: Solve for x
    x = 12,040,233,984/50,368.50
  6. Step 6: Final answer
    x = 239,042.93

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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.