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Finding the Third Proportional to 50,350 and 74,350

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Solution

The third proportional to 50,350 and 74,350 is: 109,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,350 : 74,350 = 74,350 : x
  2. Step 2: Convert to fraction form
    50,350/74,350 = 74,350/x
  3. Step 3: Cross multiply
    50,350x = 74,350 × 74,350
  4. Step 4: Simplify right side
    50,350x = 5,527,922,500
  5. Step 5: Solve for x
    x = 5,527,922,500/50,350
  6. Step 6: Final answer
    x = 109,789.92

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.