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Finding the Third Proportional to 50,727 and 108,489

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Solution

The third proportional to 50,727 and 108,489 is: 232,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727 : 108,489 = 108,489 : x
  2. Step 2: Convert to fraction form
    50,727/108,489 = 108,489/x
  3. Step 3: Cross multiply
    50,727x = 108,489 × 108,489
  4. Step 4: Simplify right side
    50,727x = 11,769,863,121
  5. Step 5: Solve for x
    x = 11,769,863,121/50,727
  6. Step 6: Final answer
    x = 232,023.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.