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Finding the Third Proportional to 44,028 and 92,916

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Solution

The third proportional to 44,028 and 92,916 is: 196,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,028 : 92,916 = 92,916 : x
  2. Step 2: Convert to fraction form
    44,028/92,916 = 92,916/x
  3. Step 3: Cross multiply
    44,028x = 92,916 × 92,916
  4. Step 4: Simplify right side
    44,028x = 8,633,383,056
  5. Step 5: Solve for x
    x = 8,633,383,056/44,028
  6. Step 6: Final answer
    x = 196,088.47

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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.