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Finding the Third Proportional to 85,110 and 182,856

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Solution

The third proportional to 85,110 and 182,856 is: 392,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,110 : 182,856 = 182,856 : x
  2. Step 2: Convert to fraction form
    85,110/182,856 = 182,856/x
  3. Step 3: Cross multiply
    85,110x = 182,856 × 182,856
  4. Step 4: Simplify right side
    85,110x = 33,436,316,736
  5. Step 5: Solve for x
    x = 33,436,316,736/85,110
  6. Step 6: Final answer
    x = 392,860.03

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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.