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Finding the Third Proportional to 87,173 and 184,138

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Solution

The third proportional to 87,173 and 184,138 is: 388,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,173 : 184,138 = 184,138 : x
  2. Step 2: Convert to fraction form
    87,173/184,138 = 184,138/x
  3. Step 3: Cross multiply
    87,173x = 184,138 × 184,138
  4. Step 4: Simplify right side
    87,173x = 33,906,803,044
  5. Step 5: Solve for x
    x = 33,906,803,044/87,173
  6. Step 6: Final answer
    x = 388,959.92

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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.