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Finding the Third Proportional to 104,276 and 167,892

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Solution

The third proportional to 104,276 and 167,892 is: 270,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,276 : 167,892 = 167,892 : x
  2. Step 2: Convert to fraction form
    104,276/167,892 = 167,892/x
  3. Step 3: Cross multiply
    104,276x = 167,892 × 167,892
  4. Step 4: Simplify right side
    104,276x = 28,187,723,664
  5. Step 5: Solve for x
    x = 28,187,723,664/104,276
  6. Step 6: Final answer
    x = 270,318.42

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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.