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Finding the Third Proportional to 25,108 and 55,723

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Solution

The third proportional to 25,108 and 55,723 is: 123,667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,108 : 55,723 = 55,723 : x
  2. Step 2: Convert to fraction form
    25,108/55,723 = 55,723/x
  3. Step 3: Cross multiply
    25,108x = 55,723 × 55,723
  4. Step 4: Simplify right side
    25,108x = 3,105,052,729
  5. Step 5: Solve for x
    x = 3,105,052,729/25,108
  6. Step 6: Final answer
    x = 123,667.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.