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Finding the Third Proportional to 87,185 and 184,834

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Solution

The third proportional to 87,185 and 184,834 is: 391,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,185 : 184,834 = 184,834 : x
  2. Step 2: Convert to fraction form
    87,185/184,834 = 184,834/x
  3. Step 3: Cross multiply
    87,185x = 184,834 × 184,834
  4. Step 4: Simplify right side
    87,185x = 34,163,607,556
  5. Step 5: Solve for x
    x = 34,163,607,556/87,185
  6. Step 6: Final answer
    x = 391,851.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.