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Finding the Third Proportional to 29,259 and 63,198

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Solution

The third proportional to 29,259 and 63,198 is: 136,504.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259 : 63,198 = 63,198 : x
  2. Step 2: Convert to fraction form
    29,259/63,198 = 63,198/x
  3. Step 3: Cross multiply
    29,259x = 63,198 × 63,198
  4. Step 4: Simplify right side
    29,259x = 3,993,987,204
  5. Step 5: Solve for x
    x = 3,993,987,204/29,259
  6. Step 6: Final answer
    x = 136,504.57

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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.