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Finding the Third Proportional to 49,573 and 109,028

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Solution

The third proportional to 49,573 and 109,028 is: 239,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573 : 109,028 = 109,028 : x
  2. Step 2: Convert to fraction form
    49,573/109,028 = 109,028/x
  3. Step 3: Cross multiply
    49,573x = 109,028 × 109,028
  4. Step 4: Simplify right side
    49,573x = 11,887,104,784
  5. Step 5: Solve for x
    x = 11,887,104,784/49,573
  6. Step 6: Final answer
    x = 239,789.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.