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Finding the Third Proportional to 49,147.25 and 105,463

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Solution

The third proportional to 49,147.25 and 105,463 is: 226,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,147.25 : 105,463 = 105,463 : x
  2. Step 2: Convert to fraction form
    49,147.25/105,463 = 105,463/x
  3. Step 3: Cross multiply
    49,147.25x = 105,463 × 105,463
  4. Step 4: Simplify right side
    49,147.25x = 11,122,444,369
  5. Step 5: Solve for x
    x = 11,122,444,369/49,147.25
  6. Step 6: Final answer
    x = 226,308.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.