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Finding the Third Proportional to 51,162.75 and 104,784.75

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Solution

The third proportional to 51,162.75 and 104,784.75 is: 214,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.75 : 104,784.75 = 104,784.75 : x
  2. Step 2: Convert to fraction form
    51,162.75/104,784.75 = 104,784.75/x
  3. Step 3: Cross multiply
    51,162.75x = 104,784.75 × 104,784.75
  4. Step 4: Simplify right side
    51,162.75x = 10,979,843,832.56
  5. Step 5: Solve for x
    x = 10,979,843,832.56/51,162.75
  6. Step 6: Final answer
    x = 214,606.21

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Why These Related Problems?

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