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Finding the Third Proportional to 25,679 and 55,192

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Solution

The third proportional to 25,679 and 55,192 is: 118,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679 : 55,192 = 55,192 : x
  2. Step 2: Convert to fraction form
    25,679/55,192 = 55,192/x
  3. Step 3: Cross multiply
    25,679x = 55,192 × 55,192
  4. Step 4: Simplify right side
    25,679x = 3,046,156,864
  5. Step 5: Solve for x
    x = 3,046,156,864/25,679
  6. Step 6: Final answer
    x = 118,624.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.