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Finding the Third Proportional to 25,178 and 51,452

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Solution

The third proportional to 25,178 and 51,452 is: 105,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178 : 51,452 = 51,452 : x
  2. Step 2: Convert to fraction form
    25,178/51,452 = 51,452/x
  3. Step 3: Cross multiply
    25,178x = 51,452 × 51,452
  4. Step 4: Simplify right side
    25,178x = 2,647,308,304
  5. Step 5: Solve for x
    x = 2,647,308,304/25,178
  6. Step 6: Final answer
    x = 105,143.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.