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Finding the Third Proportional to 50,722 and 111,569

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Solution

The third proportional to 50,722 and 111,569 is: 245,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 111,569 = 111,569 : x
  2. Step 2: Convert to fraction form
    50,722/111,569 = 111,569/x
  3. Step 3: Cross multiply
    50,722x = 111,569 × 111,569
  4. Step 4: Simplify right side
    50,722x = 12,447,641,761
  5. Step 5: Solve for x
    x = 12,447,641,761/50,722
  6. Step 6: Final answer
    x = 245,409.13

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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.