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Finding the Third Proportional to 51,149 and 109,404

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Solution

The third proportional to 51,149 and 109,404 is: 234,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149 : 109,404 = 109,404 : x
  2. Step 2: Convert to fraction form
    51,149/109,404 = 109,404/x
  3. Step 3: Cross multiply
    51,149x = 109,404 × 109,404
  4. Step 4: Simplify right side
    51,149x = 11,969,235,216
  5. Step 5: Solve for x
    x = 11,969,235,216/51,149
  6. Step 6: Final answer
    x = 234,007.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.