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Finding the Third Proportional to 50,062 and 108,386

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Solution

The third proportional to 50,062 and 108,386 is: 234,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,062 : 108,386 = 108,386 : x
  2. Step 2: Convert to fraction form
    50,062/108,386 = 108,386/x
  3. Step 3: Cross multiply
    50,062x = 108,386 × 108,386
  4. Step 4: Simplify right side
    50,062x = 11,747,524,996
  5. Step 5: Solve for x
    x = 11,747,524,996/50,062
  6. Step 6: Final answer
    x = 234,659.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.