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Finding the Third Proportional to 87,206 and 184,897

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Solution

The third proportional to 87,206 and 184,897 is: 392,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,206 : 184,897 = 184,897 : x
  2. Step 2: Convert to fraction form
    87,206/184,897 = 184,897/x
  3. Step 3: Cross multiply
    87,206x = 184,897 × 184,897
  4. Step 4: Simplify right side
    87,206x = 34,186,900,609
  5. Step 5: Solve for x
    x = 34,186,900,609/87,206
  6. Step 6: Final answer
    x = 392,024.64

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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.