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Finding the Third Proportional to 29,198 and 62,980

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Solution

The third proportional to 29,198 and 62,980 is: 135,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 62,980 = 62,980 : x
  2. Step 2: Convert to fraction form
    29,198/62,980 = 62,980/x
  3. Step 3: Cross multiply
    29,198x = 62,980 × 62,980
  4. Step 4: Simplify right side
    29,198x = 3,966,480,400
  5. Step 5: Solve for x
    x = 3,966,480,400/29,198
  6. Step 6: Final answer
    x = 135,847.67

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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.