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Finding the Third Proportional to 25,195 and 54,995

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Solution

The third proportional to 25,195 and 54,995 is: 120,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,195 : 54,995 = 54,995 : x
  2. Step 2: Convert to fraction form
    25,195/54,995 = 54,995/x
  3. Step 3: Cross multiply
    25,195x = 54,995 × 54,995
  4. Step 4: Simplify right side
    25,195x = 3,024,450,025
  5. Step 5: Solve for x
    x = 3,024,450,025/25,195
  6. Step 6: Final answer
    x = 120,041.68

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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.