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Finding the Third Proportional to 25,639 and 55,110

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Solution

The third proportional to 25,639 and 55,110 is: 118,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,639 : 55,110 = 55,110 : x
  2. Step 2: Convert to fraction form
    25,639/55,110 = 55,110/x
  3. Step 3: Cross multiply
    25,639x = 55,110 × 55,110
  4. Step 4: Simplify right side
    25,639x = 3,037,112,100
  5. Step 5: Solve for x
    x = 3,037,112,100/25,639
  6. Step 6: Final answer
    x = 118,456.73

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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.