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Finding the Third Proportional to 44,185 and 90,962

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Solution

The third proportional to 44,185 and 90,962 is: 187,260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,185 : 90,962 = 90,962 : x
  2. Step 2: Convert to fraction form
    44,185/90,962 = 90,962/x
  3. Step 3: Cross multiply
    44,185x = 90,962 × 90,962
  4. Step 4: Simplify right side
    44,185x = 8,274,085,444
  5. Step 5: Solve for x
    x = 8,274,085,444/44,185
  6. Step 6: Final answer
    x = 187,260.05

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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.