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Finding the Third Proportional to 54,524.81 and 117,642.38

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Solution

The third proportional to 54,524.81 and 117,642.38 is: 253,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524.81 : 117,642.38 = 117,642.38 : x
  2. Step 2: Convert to fraction form
    54,524.81/117,642.38 = 117,642.38/x
  3. Step 3: Cross multiply
    54,524.81x = 117,642.38 × 117,642.38
  4. Step 4: Simplify right side
    54,524.81x = 13,839,728,395.64
  5. Step 5: Solve for x
    x = 13,839,728,395.64/54,524.81
  6. Step 6: Final answer
    x = 253,824.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.