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Finding the Third Proportional to 50,123.25 and 106,800.75

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Solution

The third proportional to 50,123.25 and 106,800.75 is: 227,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,123.25 : 106,800.75 = 106,800.75 : x
  2. Step 2: Convert to fraction form
    50,123.25/106,800.75 = 106,800.75/x
  3. Step 3: Cross multiply
    50,123.25x = 106,800.75 × 106,800.75
  4. Step 4: Simplify right side
    50,123.25x = 11,406,400,200.56
  5. Step 5: Solve for x
    x = 11,406,400,200.56/50,123.25
  6. Step 6: Final answer
    x = 227,567.05

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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.