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Finding the Third Proportional to 44,914 and 92,420

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Solution

The third proportional to 44,914 and 92,420 is: 190,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,914 : 92,420 = 92,420 : x
  2. Step 2: Convert to fraction form
    44,914/92,420 = 92,420/x
  3. Step 3: Cross multiply
    44,914x = 92,420 × 92,420
  4. Step 4: Simplify right side
    44,914x = 8,541,456,400
  5. Step 5: Solve for x
    x = 8,541,456,400/44,914
  6. Step 6: Final answer
    x = 190,173.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.