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Finding the Third Proportional to 85,286 and 119,296

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Solution

The third proportional to 85,286 and 119,296 is: 166,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286 : 119,296 = 119,296 : x
  2. Step 2: Convert to fraction form
    85,286/119,296 = 119,296/x
  3. Step 3: Cross multiply
    85,286x = 119,296 × 119,296
  4. Step 4: Simplify right side
    85,286x = 14,231,535,616
  5. Step 5: Solve for x
    x = 14,231,535,616/85,286
  6. Step 6: Final answer
    x = 166,868.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.