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Finding the Third Proportional to 72,112 and 107,568

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Solution

The third proportional to 72,112 and 107,568 is: 160,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112 : 107,568 = 107,568 : x
  2. Step 2: Convert to fraction form
    72,112/107,568 = 107,568/x
  3. Step 3: Cross multiply
    72,112x = 107,568 × 107,568
  4. Step 4: Simplify right side
    72,112x = 11,570,874,624
  5. Step 5: Solve for x
    x = 11,570,874,624/72,112
  6. Step 6: Final answer
    x = 160,456.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.