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Finding the Third Proportional to 50,174.25 and 105,273.94

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Solution

The third proportional to 50,174.25 and 105,273.94 is: 220,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,174.25 : 105,273.94 = 105,273.94 : x
  2. Step 2: Convert to fraction form
    50,174.25/105,273.94 = 105,273.94/x
  3. Step 3: Cross multiply
    50,174.25x = 105,273.94 × 105,273.94
  4. Step 4: Simplify right side
    50,174.25x = 11,082,601,916.75
  5. Step 5: Solve for x
    x = 11,082,601,916.75/50,174.25
  6. Step 6: Final answer
    x = 220,882.26

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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.