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Finding the Third Proportional to 44,161.50 and 90,267

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Solution

The third proportional to 44,161.50 and 90,267 is: 184,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,161.50 : 90,267 = 90,267 : x
  2. Step 2: Convert to fraction form
    44,161.50/90,267 = 90,267/x
  3. Step 3: Cross multiply
    44,161.50x = 90,267 × 90,267
  4. Step 4: Simplify right side
    44,161.50x = 8,148,131,289
  5. Step 5: Solve for x
    x = 8,148,131,289/44,161.50
  6. Step 6: Final answer
    x = 184,507.58

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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.