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Finding the Third Proportional to 71,144 and 106,912

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Solution

The third proportional to 71,144 and 106,912 is: 160,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,144 : 106,912 = 106,912 : x
  2. Step 2: Convert to fraction form
    71,144/106,912 = 106,912/x
  3. Step 3: Cross multiply
    71,144x = 106,912 × 106,912
  4. Step 4: Simplify right side
    71,144x = 11,430,175,744
  5. Step 5: Solve for x
    x = 11,430,175,744/71,144
  6. Step 6: Final answer
    x = 160,662.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.