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Finding the Third Proportional to 131,151.75 and 196,728.75

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Solution

The third proportional to 131,151.75 and 196,728.75 is: 295,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,151.75 : 196,728.75 = 196,728.75 : x
  2. Step 2: Convert to fraction form
    131,151.75/196,728.75 = 196,728.75/x
  3. Step 3: Cross multiply
    131,151.75x = 196,728.75 × 196,728.75
  4. Step 4: Simplify right side
    131,151.75x = 38,702,201,076.56
  5. Step 5: Solve for x
    x = 38,702,201,076.56/131,151.75
  6. Step 6: Final answer
    x = 295,094.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.