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Finding the Third Proportional to 85,107 and 182,848

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Solution

The third proportional to 85,107 and 182,848 is: 392,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107 : 182,848 = 182,848 : x
  2. Step 2: Convert to fraction form
    85,107/182,848 = 182,848/x
  3. Step 3: Cross multiply
    85,107x = 182,848 × 182,848
  4. Step 4: Simplify right side
    85,107x = 33,433,391,104
  5. Step 5: Solve for x
    x = 33,433,391,104/85,107
  6. Step 6: Final answer
    x = 392,839.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.