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Finding the Third Proportional to 54,623.25 and 82,435.50

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Solution

The third proportional to 54,623.25 and 82,435.50 is: 124,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,623.25 : 82,435.50 = 82,435.50 : x
  2. Step 2: Convert to fraction form
    54,623.25/82,435.50 = 82,435.50/x
  3. Step 3: Cross multiply
    54,623.25x = 82,435.50 × 82,435.50
  4. Step 4: Simplify right side
    54,623.25x = 6,795,611,660.25
  5. Step 5: Solve for x
    x = 6,795,611,660.25/54,623.25
  6. Step 6: Final answer
    x = 124,408.78

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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.