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Finding the Third Proportional to 80,238 and 123,816.75

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Solution

The third proportional to 80,238 and 123,816.75 is: 191,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,238 : 123,816.75 = 123,816.75 : x
  2. Step 2: Convert to fraction form
    80,238/123,816.75 = 123,816.75/x
  3. Step 3: Cross multiply
    80,238x = 123,816.75 × 123,816.75
  4. Step 4: Simplify right side
    80,238x = 15,330,587,580.56
  5. Step 5: Solve for x
    x = 15,330,587,580.56/80,238
  6. Step 6: Final answer
    x = 191,063.93

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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.