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Finding the Third Proportional to 25,170 and 54,255

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Solution

The third proportional to 25,170 and 54,255 is: 116,948.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170 : 54,255 = 54,255 : x
  2. Step 2: Convert to fraction form
    25,170/54,255 = 54,255/x
  3. Step 3: Cross multiply
    25,170x = 54,255 × 54,255
  4. Step 4: Simplify right side
    25,170x = 2,943,605,025
  5. Step 5: Solve for x
    x = 2,943,605,025/25,170
  6. Step 6: Final answer
    x = 116,948.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.