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Finding the Third Proportional to 90,568.13 and 133,081.31

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Solution

The third proportional to 90,568.13 and 133,081.31 is: 195,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,568.13 : 133,081.31 = 133,081.31 : x
  2. Step 2: Convert to fraction form
    90,568.13/133,081.31 = 133,081.31/x
  3. Step 3: Cross multiply
    90,568.13x = 133,081.31 × 133,081.31
  4. Step 4: Simplify right side
    90,568.13x = 17,710,635,736.72
  5. Step 5: Solve for x
    x = 17,710,635,736.72/90,568.13
  6. Step 6: Final answer
    x = 195,550.43

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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.