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Finding the Third Proportional to 44,535 and 90,885

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Solution

The third proportional to 44,535 and 90,885 is: 185,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,535 : 90,885 = 90,885 : x
  2. Step 2: Convert to fraction form
    44,535/90,885 = 90,885/x
  3. Step 3: Cross multiply
    44,535x = 90,885 × 90,885
  4. Step 4: Simplify right side
    44,535x = 8,260,083,225
  5. Step 5: Solve for x
    x = 8,260,083,225/44,535
  6. Step 6: Final answer
    x = 185,473.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.