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Finding the Third Proportional to 50,241.94 and 77,724.56

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Solution

The third proportional to 50,241.94 and 77,724.56 is: 120,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,241.94 : 77,724.56 = 77,724.56 : x
  2. Step 2: Convert to fraction form
    50,241.94/77,724.56 = 77,724.56/x
  3. Step 3: Cross multiply
    50,241.94x = 77,724.56 × 77,724.56
  4. Step 4: Simplify right side
    50,241.94x = 6,041,107,615.82
  5. Step 5: Solve for x
    x = 6,041,107,615.82/50,241.94
  6. Step 6: Final answer
    x = 120,240.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.