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Finding the Third Proportional to 103,990 and 167,469

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Solution

The third proportional to 103,990 and 167,469 is: 269,697.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,990 : 167,469 = 167,469 : x
  2. Step 2: Convert to fraction form
    103,990/167,469 = 167,469/x
  3. Step 3: Cross multiply
    103,990x = 167,469 × 167,469
  4. Step 4: Simplify right side
    103,990x = 28,045,865,961
  5. Step 5: Solve for x
    x = 28,045,865,961/103,990
  6. Step 6: Final answer
    x = 269,697.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.