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Finding the Third Proportional to 50,199 and 73,621.50

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Solution

The third proportional to 50,199 and 73,621.50 is: 107,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199 : 73,621.50 = 73,621.50 : x
  2. Step 2: Convert to fraction form
    50,199/73,621.50 = 73,621.50/x
  3. Step 3: Cross multiply
    50,199x = 73,621.50 × 73,621.50
  4. Step 4: Simplify right side
    50,199x = 5,420,125,262.25
  5. Step 5: Solve for x
    x = 5,420,125,262.25/50,199
  6. Step 6: Final answer
    x = 107,972.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.