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Finding the Third Proportional to 49,552 and 108,948

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Solution

The third proportional to 49,552 and 108,948 is: 239,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,552 : 108,948 = 108,948 : x
  2. Step 2: Convert to fraction form
    49,552/108,948 = 108,948/x
  3. Step 3: Cross multiply
    49,552x = 108,948 × 108,948
  4. Step 4: Simplify right side
    49,552x = 11,869,666,704
  5. Step 5: Solve for x
    x = 11,869,666,704/49,552
  6. Step 6: Final answer
    x = 239,539.61

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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.