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Finding the Third Proportional to 25,209 and 54,954

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Solution

The third proportional to 25,209 and 54,954 is: 119,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,209 : 54,954 = 54,954 : x
  2. Step 2: Convert to fraction form
    25,209/54,954 = 54,954/x
  3. Step 3: Cross multiply
    25,209x = 54,954 × 54,954
  4. Step 4: Simplify right side
    25,209x = 3,019,942,116
  5. Step 5: Solve for x
    x = 3,019,942,116/25,209
  6. Step 6: Final answer
    x = 119,796.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.