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Finding the Third Proportional to 44,093 and 90,526

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Solution

The third proportional to 44,093 and 90,526 is: 185,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,093 : 90,526 = 90,526 : x
  2. Step 2: Convert to fraction form
    44,093/90,526 = 90,526/x
  3. Step 3: Cross multiply
    44,093x = 90,526 × 90,526
  4. Step 4: Simplify right side
    44,093x = 8,194,956,676
  5. Step 5: Solve for x
    x = 8,194,956,676/44,093
  6. Step 6: Final answer
    x = 185,856.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.