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Finding the Third Proportional to 135,776.25 and 189,912.75

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Solution

The third proportional to 135,776.25 and 189,912.75 is: 265,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776.25 : 189,912.75 = 189,912.75 : x
  2. Step 2: Convert to fraction form
    135,776.25/189,912.75 = 189,912.75/x
  3. Step 3: Cross multiply
    135,776.25x = 189,912.75 × 189,912.75
  4. Step 4: Simplify right side
    135,776.25x = 36,066,852,612.56
  5. Step 5: Solve for x
    x = 36,066,852,612.56/135,776.25
  6. Step 6: Final answer
    x = 265,634.47

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.