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Finding the Third Proportional to 51,203.75 and 111,394.75

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Solution

The third proportional to 51,203.75 and 111,394.75 is: 242,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,203.75 : 111,394.75 = 111,394.75 : x
  2. Step 2: Convert to fraction form
    51,203.75/111,394.75 = 111,394.75/x
  3. Step 3: Cross multiply
    51,203.75x = 111,394.75 × 111,394.75
  4. Step 4: Simplify right side
    51,203.75x = 12,408,790,327.56
  5. Step 5: Solve for x
    x = 12,408,790,327.56/51,203.75
  6. Step 6: Final answer
    x = 242,341.44

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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.