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Finding the Third Proportional to 71,379 and 107,068

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Solution

The third proportional to 71,379 and 107,068 is: 160,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,379 : 107,068 = 107,068 : x
  2. Step 2: Convert to fraction form
    71,379/107,068 = 107,068/x
  3. Step 3: Cross multiply
    71,379x = 107,068 × 107,068
  4. Step 4: Simplify right side
    71,379x = 11,463,556,624
  5. Step 5: Solve for x
    x = 11,463,556,624/71,379
  6. Step 6: Final answer
    x = 160,601.25

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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.