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Finding the Third Proportional to 122,170 and 172,041

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Solution

The third proportional to 122,170 and 172,041 is: 242,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,170 : 172,041 = 172,041 : x
  2. Step 2: Convert to fraction form
    122,170/172,041 = 172,041/x
  3. Step 3: Cross multiply
    122,170x = 172,041 × 172,041
  4. Step 4: Simplify right side
    122,170x = 29,598,105,681
  5. Step 5: Solve for x
    x = 29,598,105,681/122,170
  6. Step 6: Final answer
    x = 242,269.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.