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Finding the Third Proportional to 66,941 and 100,415

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Solution

The third proportional to 66,941 and 100,415 is: 150,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,941 : 100,415 = 100,415 : x
  2. Step 2: Convert to fraction form
    66,941/100,415 = 100,415/x
  3. Step 3: Cross multiply
    66,941x = 100,415 × 100,415
  4. Step 4: Simplify right side
    66,941x = 10,083,172,225
  5. Step 5: Solve for x
    x = 10,083,172,225/66,941
  6. Step 6: Final answer
    x = 150,627.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.