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Finding the Third Proportional to 49,989 and 108,906

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Solution

The third proportional to 49,989 and 108,906 is: 237,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,989 : 108,906 = 108,906 : x
  2. Step 2: Convert to fraction form
    49,989/108,906 = 108,906/x
  3. Step 3: Cross multiply
    49,989x = 108,906 × 108,906
  4. Step 4: Simplify right side
    49,989x = 11,860,516,836
  5. Step 5: Solve for x
    x = 11,860,516,836/49,989
  6. Step 6: Final answer
    x = 237,262.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.