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Finding the Third Proportional to 131,448 and 192,500

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Solution

The third proportional to 131,448 and 192,500 is: 281,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,448 : 192,500 = 192,500 : x
  2. Step 2: Convert to fraction form
    131,448/192,500 = 192,500/x
  3. Step 3: Cross multiply
    131,448x = 192,500 × 192,500
  4. Step 4: Simplify right side
    131,448x = 37,056,250,000
  5. Step 5: Solve for x
    x = 37,056,250,000/131,448
  6. Step 6: Final answer
    x = 281,908.05

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