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Finding the Third Proportional to 47,047.50 and 113,789.25

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Solution

The third proportional to 47,047.50 and 113,789.25 is: 275,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,047.50 : 113,789.25 = 113,789.25 : x
  2. Step 2: Convert to fraction form
    47,047.50/113,789.25 = 113,789.25/x
  3. Step 3: Cross multiply
    47,047.50x = 113,789.25 × 113,789.25
  4. Step 4: Simplify right side
    47,047.50x = 12,947,993,415.56
  5. Step 5: Solve for x
    x = 12,947,993,415.56/47,047.50
  6. Step 6: Final answer
    x = 275,211.08

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.