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Finding the Third Proportional to 87,005 and 184,671

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Solution

The third proportional to 87,005 and 184,671 is: 391,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,005 : 184,671 = 184,671 : x
  2. Step 2: Convert to fraction form
    87,005/184,671 = 184,671/x
  3. Step 3: Cross multiply
    87,005x = 184,671 × 184,671
  4. Step 4: Simplify right side
    87,005x = 34,103,378,241
  5. Step 5: Solve for x
    x = 34,103,378,241/87,005
  6. Step 6: Final answer
    x = 391,970.33

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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.