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Finding the Third Proportional to 51,117.75 and 104,785.31

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Solution

The third proportional to 51,117.75 and 104,785.31 is: 214,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,117.75 : 104,785.31 = 104,785.31 : x
  2. Step 2: Convert to fraction form
    51,117.75/104,785.31 = 104,785.31/x
  3. Step 3: Cross multiply
    51,117.75x = 104,785.31 × 104,785.31
  4. Step 4: Simplify right side
    51,117.75x = 10,979,961,715.72
  5. Step 5: Solve for x
    x = 10,979,961,715.72/51,117.75
  6. Step 6: Final answer
    x = 214,797.44

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.