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Finding the Third Proportional to 85,841 and 181,523

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Solution

The third proportional to 85,841 and 181,523 is: 383,856.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,841 : 181,523 = 181,523 : x
  2. Step 2: Convert to fraction form
    85,841/181,523 = 181,523/x
  3. Step 3: Cross multiply
    85,841x = 181,523 × 181,523
  4. Step 4: Simplify right side
    85,841x = 32,950,599,529
  5. Step 5: Solve for x
    x = 32,950,599,529/85,841
  6. Step 6: Final answer
    x = 383,856.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.