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Finding the Third Proportional to 25,517 and 54,166

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Solution

The third proportional to 25,517 and 54,166 is: 114,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517 : 54,166 = 54,166 : x
  2. Step 2: Convert to fraction form
    25,517/54,166 = 54,166/x
  3. Step 3: Cross multiply
    25,517x = 54,166 × 54,166
  4. Step 4: Simplify right side
    25,517x = 2,933,955,556
  5. Step 5: Solve for x
    x = 2,933,955,556/25,517
  6. Step 6: Final answer
    x = 114,980.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.