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Finding the Third Proportional to 131,622.38 and 192,497.25

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Solution

The third proportional to 131,622.38 and 192,497.25 is: 281,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,622.38 : 192,497.25 = 192,497.25 : x
  2. Step 2: Convert to fraction form
    131,622.38/192,497.25 = 192,497.25/x
  3. Step 3: Cross multiply
    131,622.38x = 192,497.25 × 192,497.25
  4. Step 4: Simplify right side
    131,622.38x = 37,055,191,257.56
  5. Step 5: Solve for x
    x = 37,055,191,257.56/131,622.38
  6. Step 6: Final answer
    x = 281,526.54

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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.