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Finding the Third Proportional to 44,161.50 and 68,227.50

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Solution

The third proportional to 44,161.50 and 68,227.50 is: 105,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,161.50 : 68,227.50 = 68,227.50 : x
  2. Step 2: Convert to fraction form
    44,161.50/68,227.50 = 68,227.50/x
  3. Step 3: Cross multiply
    44,161.50x = 68,227.50 × 68,227.50
  4. Step 4: Simplify right side
    44,161.50x = 4,654,991,756.25
  5. Step 5: Solve for x
    x = 4,654,991,756.25/44,161.50
  6. Step 6: Final answer
    x = 105,408.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.