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Finding the Third Proportional to 50,062 and 107,852

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Solution

The third proportional to 50,062 and 107,852 is: 232,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,062 : 107,852 = 107,852 : x
  2. Step 2: Convert to fraction form
    50,062/107,852 = 107,852/x
  3. Step 3: Cross multiply
    50,062x = 107,852 × 107,852
  4. Step 4: Simplify right side
    50,062x = 11,632,053,904
  5. Step 5: Solve for x
    x = 11,632,053,904/50,062
  6. Step 6: Final answer
    x = 232,352.96

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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.