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Finding the Third Proportional to 131,587 and 192,049

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Solution

The third proportional to 131,587 and 192,049 is: 280,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,587 : 192,049 = 192,049 : x
  2. Step 2: Convert to fraction form
    131,587/192,049 = 192,049/x
  3. Step 3: Cross multiply
    131,587x = 192,049 × 192,049
  4. Step 4: Simplify right side
    131,587x = 36,882,818,401
  5. Step 5: Solve for x
    x = 36,882,818,401/131,587
  6. Step 6: Final answer
    x = 280,292.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.