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Finding the Third Proportional to 47,754.56 and 104,692.50

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Solution

The third proportional to 47,754.56 and 104,692.50 is: 229,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.56 : 104,692.50 = 104,692.50 : x
  2. Step 2: Convert to fraction form
    47,754.56/104,692.50 = 104,692.50/x
  3. Step 3: Cross multiply
    47,754.56x = 104,692.50 × 104,692.50
  4. Step 4: Simplify right side
    47,754.56x = 10,960,519,556.25
  5. Step 5: Solve for x
    x = 10,960,519,556.25/47,754.56
  6. Step 6: Final answer
    x = 229,517.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.