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Finding the Third Proportional to 39,198 and 59,161.50

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Solution

The third proportional to 39,198 and 59,161.50 is: 89,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,198 : 59,161.50 = 59,161.50 : x
  2. Step 2: Convert to fraction form
    39,198/59,161.50 = 59,161.50/x
  3. Step 3: Cross multiply
    39,198x = 59,161.50 × 59,161.50
  4. Step 4: Simplify right side
    39,198x = 3,500,083,082.25
  5. Step 5: Solve for x
    x = 3,500,083,082.25/39,198
  6. Step 6: Final answer
    x = 89,292.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.