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Finding the Third Proportional to 131,524.07 and 192,601.55

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Solution

The third proportional to 131,524.07 and 192,601.55 is: 282,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,524.07 : 192,601.55 = 192,601.55 : x
  2. Step 2: Convert to fraction form
    131,524.07/192,601.55 = 192,601.55/x
  3. Step 3: Cross multiply
    131,524.07x = 192,601.55 × 192,601.55
  4. Step 4: Simplify right side
    131,524.07x = 37,095,355,858.64
  5. Step 5: Solve for x
    x = 37,095,355,858.64/131,524.07
  6. Step 6: Final answer
    x = 282,042.34

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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.