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Finding the Third Proportional to 104,672 and 246,848

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Solution

The third proportional to 104,672 and 246,848 is: 582,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,672 : 246,848 = 246,848 : x
  2. Step 2: Convert to fraction form
    104,672/246,848 = 246,848/x
  3. Step 3: Cross multiply
    104,672x = 246,848 × 246,848
  4. Step 4: Simplify right side
    104,672x = 60,933,935,104
  5. Step 5: Solve for x
    x = 60,933,935,104/104,672
  6. Step 6: Final answer
    x = 582,141.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.