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Finding the Third Proportional to 51,009.75 and 111,202.88

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Solution

The third proportional to 51,009.75 and 111,202.88 is: 242,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 111,202.88 = 111,202.88 : x
  2. Step 2: Convert to fraction form
    51,009.75/111,202.88 = 111,202.88/x
  3. Step 3: Cross multiply
    51,009.75x = 111,202.88 × 111,202.88
  4. Step 4: Simplify right side
    51,009.75x = 12,366,079,408.27
  5. Step 5: Solve for x
    x = 12,366,079,408.27/51,009.75
  6. Step 6: Final answer
    x = 242,425.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.