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Finding the Third Proportional to 44,103 and 90,546

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Solution

The third proportional to 44,103 and 90,546 is: 185,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,103 : 90,546 = 90,546 : x
  2. Step 2: Convert to fraction form
    44,103/90,546 = 90,546/x
  3. Step 3: Cross multiply
    44,103x = 90,546 × 90,546
  4. Step 4: Simplify right side
    44,103x = 8,198,578,116
  5. Step 5: Solve for x
    x = 8,198,578,116/44,103
  6. Step 6: Final answer
    x = 185,896.15

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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.