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Finding the Third Proportional to 50,154.50 and 76,216.75

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Solution

The third proportional to 50,154.50 and 76,216.75 is: 115,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,154.50 : 76,216.75 = 76,216.75 : x
  2. Step 2: Convert to fraction form
    50,154.50/76,216.75 = 76,216.75/x
  3. Step 3: Cross multiply
    50,154.50x = 76,216.75 × 76,216.75
  4. Step 4: Simplify right side
    50,154.50x = 5,808,992,980.56
  5. Step 5: Solve for x
    x = 5,808,992,980.56/50,154.50
  6. Step 6: Final answer
    x = 115,821.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.