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Finding the Third Proportional to 25,460.25 and 60,198

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Solution

The third proportional to 25,460.25 and 60,198 is: 142,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,460.25 : 60,198 = 60,198 : x
  2. Step 2: Convert to fraction form
    25,460.25/60,198 = 60,198/x
  3. Step 3: Cross multiply
    25,460.25x = 60,198 × 60,198
  4. Step 4: Simplify right side
    25,460.25x = 3,623,799,204
  5. Step 5: Solve for x
    x = 3,623,799,204/25,460.25
  6. Step 6: Final answer
    x = 142,331.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.