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Finding the Third Proportional to 50,240 and 109,600

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Solution

The third proportional to 50,240 and 109,600 is: 239,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,240 : 109,600 = 109,600 : x
  2. Step 2: Convert to fraction form
    50,240/109,600 = 109,600/x
  3. Step 3: Cross multiply
    50,240x = 109,600 × 109,600
  4. Step 4: Simplify right side
    50,240x = 12,012,160,000
  5. Step 5: Solve for x
    x = 12,012,160,000/50,240
  6. Step 6: Final answer
    x = 239,095.54

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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.