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Finding the Third Proportional to 29,378 and 62,104

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Solution

The third proportional to 29,378 and 62,104 is: 131,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 62,104 = 62,104 : x
  2. Step 2: Convert to fraction form
    29,378/62,104 = 62,104/x
  3. Step 3: Cross multiply
    29,378x = 62,104 × 62,104
  4. Step 4: Simplify right side
    29,378x = 3,856,906,816
  5. Step 5: Solve for x
    x = 3,856,906,816/29,378
  6. Step 6: Final answer
    x = 131,285.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.