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Finding the Third Proportional to 54,568.69 and 117,110.81

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Solution

The third proportional to 54,568.69 and 117,110.81 is: 251,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,568.69 : 117,110.81 = 117,110.81 : x
  2. Step 2: Convert to fraction form
    54,568.69/117,110.81 = 117,110.81/x
  3. Step 3: Cross multiply
    54,568.69x = 117,110.81 × 117,110.81
  4. Step 4: Simplify right side
    54,568.69x = 13,714,942,404.41
  5. Step 5: Solve for x
    x = 13,714,942,404.41/54,568.69
  6. Step 6: Final answer
    x = 251,333.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.