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Finding the Third Proportional to 50,217.50 and 109,405

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Solution

The third proportional to 50,217.50 and 109,405 is: 238,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,217.50 : 109,405 = 109,405 : x
  2. Step 2: Convert to fraction form
    50,217.50/109,405 = 109,405/x
  3. Step 3: Cross multiply
    50,217.50x = 109,405 × 109,405
  4. Step 4: Simplify right side
    50,217.50x = 11,969,454,025
  5. Step 5: Solve for x
    x = 11,969,454,025/50,217.50
  6. Step 6: Final answer
    x = 238,352.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.