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Finding the Third Proportional to 47,868.75 and 102,845.25

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Solution

The third proportional to 47,868.75 and 102,845.25 is: 220,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,868.75 : 102,845.25 = 102,845.25 : x
  2. Step 2: Convert to fraction form
    47,868.75/102,845.25 = 102,845.25/x
  3. Step 3: Cross multiply
    47,868.75x = 102,845.25 × 102,845.25
  4. Step 4: Simplify right side
    47,868.75x = 10,577,145,447.56
  5. Step 5: Solve for x
    x = 10,577,145,447.56/47,868.75
  6. Step 6: Final answer
    x = 220,961.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.