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Finding the Third Proportional to 121,940.44 and 187,665.19

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Solution

The third proportional to 121,940.44 and 187,665.19 is: 288,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,940.44 : 187,665.19 = 187,665.19 : x
  2. Step 2: Convert to fraction form
    121,940.44/187,665.19 = 187,665.19/x
  3. Step 3: Cross multiply
    121,940.44x = 187,665.19 × 187,665.19
  4. Step 4: Simplify right side
    121,940.44x = 35,218,222,599.41
  5. Step 5: Solve for x
    x = 35,218,222,599.41/121,940.44
  6. Step 6: Final answer
    x = 288,814.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.