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Finding the Third Proportional to 49,552 and 108,944

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Solution

The third proportional to 49,552 and 108,944 is: 239,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,552 : 108,944 = 108,944 : x
  2. Step 2: Convert to fraction form
    49,552/108,944 = 108,944/x
  3. Step 3: Cross multiply
    49,552x = 108,944 × 108,944
  4. Step 4: Simplify right side
    49,552x = 11,868,795,136
  5. Step 5: Solve for x
    x = 11,868,795,136/49,552
  6. Step 6: Final answer
    x = 239,522.02

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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.