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Finding the Third Proportional to 131,619 and 192,492

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Solution

The third proportional to 131,619 and 192,492 is: 281,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,619 : 192,492 = 192,492 : x
  2. Step 2: Convert to fraction form
    131,619/192,492 = 192,492/x
  3. Step 3: Cross multiply
    131,619x = 192,492 × 192,492
  4. Step 4: Simplify right side
    131,619x = 37,053,170,064
  5. Step 5: Solve for x
    x = 37,053,170,064/131,619
  6. Step 6: Final answer
    x = 281,518.40

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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.