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Finding the Third Proportional to 50,721 and 111,567

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Solution

The third proportional to 50,721 and 111,567 is: 245,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,721 : 111,567 = 111,567 : x
  2. Step 2: Convert to fraction form
    50,721/111,567 = 111,567/x
  3. Step 3: Cross multiply
    50,721x = 111,567 × 111,567
  4. Step 4: Simplify right side
    50,721x = 12,447,195,489
  5. Step 5: Solve for x
    x = 12,447,195,489/50,721
  6. Step 6: Final answer
    x = 245,405.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.