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Finding the Third Proportional to 67,828 and 141,848

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Solution

The third proportional to 67,828 and 141,848 is: 296,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828 : 141,848 = 141,848 : x
  2. Step 2: Convert to fraction form
    67,828/141,848 = 141,848/x
  3. Step 3: Cross multiply
    67,828x = 141,848 × 141,848
  4. Step 4: Simplify right side
    67,828x = 20,120,855,104
  5. Step 5: Solve for x
    x = 20,120,855,104/67,828
  6. Step 6: Final answer
    x = 296,645.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.