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Finding the Third Proportional to 135,750.94 and 178,512.19

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Solution

The third proportional to 135,750.94 and 178,512.19 is: 234,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,750.94 : 178,512.19 = 178,512.19 : x
  2. Step 2: Convert to fraction form
    135,750.94/178,512.19 = 178,512.19/x
  3. Step 3: Cross multiply
    135,750.94x = 178,512.19 × 178,512.19
  4. Step 4: Simplify right side
    135,750.94x = 31,866,601,086.04
  5. Step 5: Solve for x
    x = 31,866,601,086.04/135,750.94
  6. Step 6: Final answer
    x = 234,743.14

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.