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Finding the Third Proportional to 123,190 and 171,635

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Solution

The third proportional to 123,190 and 171,635 is: 239,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,190 : 171,635 = 171,635 : x
  2. Step 2: Convert to fraction form
    123,190/171,635 = 171,635/x
  3. Step 3: Cross multiply
    123,190x = 171,635 × 171,635
  4. Step 4: Simplify right side
    123,190x = 29,458,573,225
  5. Step 5: Solve for x
    x = 29,458,573,225/123,190
  6. Step 6: Final answer
    x = 239,131.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.