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Finding the Third Proportional to 54,244.69 and 116,817.19

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Solution

The third proportional to 54,244.69 and 116,817.19 is: 251,568.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244.69 : 116,817.19 = 116,817.19 : x
  2. Step 2: Convert to fraction form
    54,244.69/116,817.19 = 116,817.19/x
  3. Step 3: Cross multiply
    54,244.69x = 116,817.19 × 116,817.19
  4. Step 4: Simplify right side
    54,244.69x = 13,646,255,295.41
  5. Step 5: Solve for x
    x = 13,646,255,295.41/54,244.69
  6. Step 6: Final answer
    x = 251,568.51

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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.