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Finding the Third Proportional to 51,521.25 and 108,576.75

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Solution

The third proportional to 51,521.25 and 108,576.75 is: 228,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,521.25 : 108,576.75 = 108,576.75 : x
  2. Step 2: Convert to fraction form
    51,521.25/108,576.75 = 108,576.75/x
  3. Step 3: Cross multiply
    51,521.25x = 108,576.75 × 108,576.75
  4. Step 4: Simplify right side
    51,521.25x = 11,788,910,640.56
  5. Step 5: Solve for x
    x = 11,788,910,640.56/51,521.25
  6. Step 6: Final answer
    x = 228,816.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.