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Finding the Third Proportional to 41,919 and 91,614

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Solution

The third proportional to 41,919 and 91,614 is: 200,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,919 : 91,614 = 91,614 : x
  2. Step 2: Convert to fraction form
    41,919/91,614 = 91,614/x
  3. Step 3: Cross multiply
    41,919x = 91,614 × 91,614
  4. Step 4: Simplify right side
    41,919x = 8,393,124,996
  5. Step 5: Solve for x
    x = 8,393,124,996/41,919
  6. Step 6: Final answer
    x = 200,222.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.