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Finding the Third Proportional to 49,329 and 108,711

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Solution

The third proportional to 49,329 and 108,711 is: 239,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329 : 108,711 = 108,711 : x
  2. Step 2: Convert to fraction form
    49,329/108,711 = 108,711/x
  3. Step 3: Cross multiply
    49,329x = 108,711 × 108,711
  4. Step 4: Simplify right side
    49,329x = 11,818,081,521
  5. Step 5: Solve for x
    x = 11,818,081,521/49,329
  6. Step 6: Final answer
    x = 239,576.75

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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.