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Finding the Third Proportional to 53,361.28 and 118,538.44

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Solution

The third proportional to 53,361.28 and 118,538.44 is: 263,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,361.28 : 118,538.44 = 118,538.44 : x
  2. Step 2: Convert to fraction form
    53,361.28/118,538.44 = 118,538.44/x
  3. Step 3: Cross multiply
    53,361.28x = 118,538.44 × 118,538.44
  4. Step 4: Simplify right side
    53,361.28x = 14,051,361,164.94
  5. Step 5: Solve for x
    x = 14,051,361,164.94/53,361.28
  6. Step 6: Final answer
    x = 263,325.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.