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Finding the Third Proportional to 51,144 and 112,400

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Solution

The third proportional to 51,144 and 112,400 is: 247,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,144 : 112,400 = 112,400 : x
  2. Step 2: Convert to fraction form
    51,144/112,400 = 112,400/x
  3. Step 3: Cross multiply
    51,144x = 112,400 × 112,400
  4. Step 4: Simplify right side
    51,144x = 12,633,760,000
  5. Step 5: Solve for x
    x = 12,633,760,000/51,144
  6. Step 6: Final answer
    x = 247,023.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.