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Finding the Third Proportional to 131,617.50 and 192,490.13

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Solution

The third proportional to 131,617.50 and 192,490.13 is: 281,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,617.50 : 192,490.13 = 192,490.13 : x
  2. Step 2: Convert to fraction form
    131,617.50/192,490.13 = 192,490.13/x
  3. Step 3: Cross multiply
    131,617.50x = 192,490.13 × 192,490.13
  4. Step 4: Simplify right side
    131,617.50x = 37,052,448,222.52
  5. Step 5: Solve for x
    x = 37,052,448,222.52/131,617.50
  6. Step 6: Final answer
    x = 281,516.12

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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.