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Finding the Third Proportional to 73,821 and 104,025.50

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Solution

The third proportional to 73,821 and 104,025.50 is: 146,588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,821 : 104,025.50 = 104,025.50 : x
  2. Step 2: Convert to fraction form
    73,821/104,025.50 = 104,025.50/x
  3. Step 3: Cross multiply
    73,821x = 104,025.50 × 104,025.50
  4. Step 4: Simplify right side
    73,821x = 10,821,304,650.25
  5. Step 5: Solve for x
    x = 10,821,304,650.25/73,821
  6. Step 6: Final answer
    x = 146,588.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.