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Finding the Third Proportional to 51,023.25 and 108,222.75

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Solution

The third proportional to 51,023.25 and 108,222.75 is: 229,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,023.25 : 108,222.75 = 108,222.75 : x
  2. Step 2: Convert to fraction form
    51,023.25/108,222.75 = 108,222.75/x
  3. Step 3: Cross multiply
    51,023.25x = 108,222.75 × 108,222.75
  4. Step 4: Simplify right side
    51,023.25x = 11,712,163,617.56
  5. Step 5: Solve for x
    x = 11,712,163,617.56/51,023.25
  6. Step 6: Final answer
    x = 229,545.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.