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Finding the Third Proportional to 131,151.66 and 192,420.56

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Solution

The third proportional to 131,151.66 and 192,420.56 is: 282,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,151.66 : 192,420.56 = 192,420.56 : x
  2. Step 2: Convert to fraction form
    131,151.66/192,420.56 = 192,420.56/x
  3. Step 3: Cross multiply
    131,151.66x = 192,420.56 × 192,420.56
  4. Step 4: Simplify right side
    131,151.66x = 37,025,672,872.82
  5. Step 5: Solve for x
    x = 37,025,672,872.82/131,151.66
  6. Step 6: Final answer
    x = 282,311.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.