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Finding the Third Proportional to 44,231 and 90,765

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Solution

The third proportional to 44,231 and 90,765 is: 186,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,231 : 90,765 = 90,765 : x
  2. Step 2: Convert to fraction form
    44,231/90,765 = 90,765/x
  3. Step 3: Cross multiply
    44,231x = 90,765 × 90,765
  4. Step 4: Simplify right side
    44,231x = 8,238,285,225
  5. Step 5: Solve for x
    x = 8,238,285,225/44,231
  6. Step 6: Final answer
    x = 186,255.91

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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.