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Finding the Third Proportional to 65,845 and 104,599.50

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Solution

The third proportional to 65,845 and 104,599.50 is: 166,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,845 : 104,599.50 = 104,599.50 : x
  2. Step 2: Convert to fraction form
    65,845/104,599.50 = 104,599.50/x
  3. Step 3: Cross multiply
    65,845x = 104,599.50 × 104,599.50
  4. Step 4: Simplify right side
    65,845x = 10,941,055,400.25
  5. Step 5: Solve for x
    x = 10,941,055,400.25/65,845
  6. Step 6: Final answer
    x = 166,163.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.