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Finding the Third Proportional to 71,936 and 108,918

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Solution

The third proportional to 71,936 and 108,918 is: 164,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,936 : 108,918 = 108,918 : x
  2. Step 2: Convert to fraction form
    71,936/108,918 = 108,918/x
  3. Step 3: Cross multiply
    71,936x = 108,918 × 108,918
  4. Step 4: Simplify right side
    71,936x = 11,863,130,724
  5. Step 5: Solve for x
    x = 11,863,130,724/71,936
  6. Step 6: Final answer
    x = 164,912.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.