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Finding the Third Proportional to 50,134.50 and 106,771.50

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Solution

The third proportional to 50,134.50 and 106,771.50 is: 227,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,134.50 : 106,771.50 = 106,771.50 : x
  2. Step 2: Convert to fraction form
    50,134.50/106,771.50 = 106,771.50/x
  3. Step 3: Cross multiply
    50,134.50x = 106,771.50 × 106,771.50
  4. Step 4: Simplify right side
    50,134.50x = 11,400,153,212.25
  5. Step 5: Solve for x
    x = 11,400,153,212.25/50,134.50
  6. Step 6: Final answer
    x = 227,391.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.