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Finding the Third Proportional to 50,186.44 and 73,893.14

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Solution

The third proportional to 50,186.44 and 73,893.14 is: 108,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.44 : 73,893.14 = 73,893.14 : x
  2. Step 2: Convert to fraction form
    50,186.44/73,893.14 = 73,893.14/x
  3. Step 3: Cross multiply
    50,186.44x = 73,893.14 × 73,893.14
  4. Step 4: Simplify right side
    50,186.44x = 5,460,196,231.43
  5. Step 5: Solve for x
    x = 5,460,196,231.43/50,186.44
  6. Step 6: Final answer
    x = 108,798.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.