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Finding the Third Proportional to 51,214.78 and 110,853.56

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Solution

The third proportional to 51,214.78 and 110,853.56 is: 239,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214.78 : 110,853.56 = 110,853.56 : x
  2. Step 2: Convert to fraction form
    51,214.78/110,853.56 = 110,853.56/x
  3. Step 3: Cross multiply
    51,214.78x = 110,853.56 × 110,853.56
  4. Step 4: Simplify right side
    51,214.78x = 12,288,512,318.94
  5. Step 5: Solve for x
    x = 12,288,512,318.94/51,214.78
  6. Step 6: Final answer
    x = 239,940.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.