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Finding the Third Proportional to 121,450.50 and 190,122.75

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Solution

The third proportional to 121,450.50 and 190,122.75 is: 297,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,450.50 : 190,122.75 = 190,122.75 : x
  2. Step 2: Convert to fraction form
    121,450.50/190,122.75 = 190,122.75/x
  3. Step 3: Cross multiply
    121,450.50x = 190,122.75 × 190,122.75
  4. Step 4: Simplify right side
    121,450.50x = 36,146,660,067.56
  5. Step 5: Solve for x
    x = 36,146,660,067.56/121,450.50
  6. Step 6: Final answer
    x = 297,624.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.