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Finding the Third Proportional to 54,804 and 82,215

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Solution

The third proportional to 54,804 and 82,215 is: 123,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804 : 82,215 = 82,215 : x
  2. Step 2: Convert to fraction form
    54,804/82,215 = 82,215/x
  3. Step 3: Cross multiply
    54,804x = 82,215 × 82,215
  4. Step 4: Simplify right side
    54,804x = 6,759,306,225
  5. Step 5: Solve for x
    x = 6,759,306,225/54,804
  6. Step 6: Final answer
    x = 123,336.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.