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Finding the Third Proportional to 87,968 and 184,684

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Solution

The third proportional to 87,968 and 184,684 is: 387,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,968 : 184,684 = 184,684 : x
  2. Step 2: Convert to fraction form
    87,968/184,684 = 184,684/x
  3. Step 3: Cross multiply
    87,968x = 184,684 × 184,684
  4. Step 4: Simplify right side
    87,968x = 34,108,179,856
  5. Step 5: Solve for x
    x = 34,108,179,856/87,968
  6. Step 6: Final answer
    x = 387,733.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.