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Finding the Third Proportional to 50,371.50 and 105,915

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Solution

The third proportional to 50,371.50 and 105,915 is: 222,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,371.50 : 105,915 = 105,915 : x
  2. Step 2: Convert to fraction form
    50,371.50/105,915 = 105,915/x
  3. Step 3: Cross multiply
    50,371.50x = 105,915 × 105,915
  4. Step 4: Simplify right side
    50,371.50x = 11,217,987,225
  5. Step 5: Solve for x
    x = 11,217,987,225/50,371.50
  6. Step 6: Final answer
    x = 222,705.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.