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Finding the Third Proportional to 122,796.50 and 190,188.75

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Solution

The third proportional to 122,796.50 and 190,188.75 is: 294,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796.50 : 190,188.75 = 190,188.75 : x
  2. Step 2: Convert to fraction form
    122,796.50/190,188.75 = 190,188.75/x
  3. Step 3: Cross multiply
    122,796.50x = 190,188.75 × 190,188.75
  4. Step 4: Simplify right side
    122,796.50x = 36,171,760,626.56
  5. Step 5: Solve for x
    x = 36,171,760,626.56/122,796.50
  6. Step 6: Final answer
    x = 294,566.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.