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Finding the Third Proportional to 54,497.81 and 117,343.69

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Solution

The third proportional to 54,497.81 and 117,343.69 is: 252,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.81 : 117,343.69 = 117,343.69 : x
  2. Step 2: Convert to fraction form
    54,497.81/117,343.69 = 117,343.69/x
  3. Step 3: Cross multiply
    54,497.81x = 117,343.69 × 117,343.69
  4. Step 4: Simplify right side
    54,497.81x = 13,769,540,996.10
  5. Step 5: Solve for x
    x = 13,769,540,996.10/54,497.81
  6. Step 6: Final answer
    x = 252,662.27

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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.