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Finding the Third Proportional to 104,251 and 167,858

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Solution

The third proportional to 104,251 and 167,858 is: 270,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,251 : 167,858 = 167,858 : x
  2. Step 2: Convert to fraction form
    104,251/167,858 = 167,858/x
  3. Step 3: Cross multiply
    104,251x = 167,858 × 167,858
  4. Step 4: Simplify right side
    104,251x = 28,176,308,164
  5. Step 5: Solve for x
    x = 28,176,308,164/104,251
  6. Step 6: Final answer
    x = 270,273.74

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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.