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Finding the Third Proportional to 50,108 and 108,964

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Solution

The third proportional to 50,108 and 108,964 is: 236,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,108 : 108,964 = 108,964 : x
  2. Step 2: Convert to fraction form
    50,108/108,964 = 108,964/x
  3. Step 3: Cross multiply
    50,108x = 108,964 × 108,964
  4. Step 4: Simplify right side
    50,108x = 11,873,153,296
  5. Step 5: Solve for x
    x = 11,873,153,296/50,108
  6. Step 6: Final answer
    x = 236,951.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.