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Finding the Third Proportional to 87,267 and 134,213

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Solution

The third proportional to 87,267 and 134,213 is: 206,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,267 : 134,213 = 134,213 : x
  2. Step 2: Convert to fraction form
    87,267/134,213 = 134,213/x
  3. Step 3: Cross multiply
    87,267x = 134,213 × 134,213
  4. Step 4: Simplify right side
    87,267x = 18,013,129,369
  5. Step 5: Solve for x
    x = 18,013,129,369/87,267
  6. Step 6: Final answer
    x = 206,413.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.