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Finding the Third Proportional to 90,112 and 131,744

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Solution

The third proportional to 90,112 and 131,744 is: 192,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,112 : 131,744 = 131,744 : x
  2. Step 2: Convert to fraction form
    90,112/131,744 = 131,744/x
  3. Step 3: Cross multiply
    90,112x = 131,744 × 131,744
  4. Step 4: Simplify right side
    90,112x = 17,356,481,536
  5. Step 5: Solve for x
    x = 17,356,481,536/90,112
  6. Step 6: Final answer
    x = 192,610.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.