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Finding the Third Proportional to 87,213 and 184,911

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Solution

The third proportional to 87,213 and 184,911 is: 392,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,213 : 184,911 = 184,911 : x
  2. Step 2: Convert to fraction form
    87,213/184,911 = 184,911/x
  3. Step 3: Cross multiply
    87,213x = 184,911 × 184,911
  4. Step 4: Simplify right side
    87,213x = 34,192,077,921
  5. Step 5: Solve for x
    x = 34,192,077,921/87,213
  6. Step 6: Final answer
    x = 392,052.54

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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.