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Finding the Third Proportional to 50,961 and 108,089

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Solution

The third proportional to 50,961 and 108,089 is: 229,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,961 : 108,089 = 108,089 : x
  2. Step 2: Convert to fraction form
    50,961/108,089 = 108,089/x
  3. Step 3: Cross multiply
    50,961x = 108,089 × 108,089
  4. Step 4: Simplify right side
    50,961x = 11,683,231,921
  5. Step 5: Solve for x
    x = 11,683,231,921/50,961
  6. Step 6: Final answer
    x = 229,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.