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Finding the Third Proportional to 54,801.56 and 82,209.94

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Solution

The third proportional to 54,801.56 and 82,209.94 is: 123,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.56 : 82,209.94 = 82,209.94 : x
  2. Step 2: Convert to fraction form
    54,801.56/82,209.94 = 82,209.94/x
  3. Step 3: Cross multiply
    54,801.56x = 82,209.94 × 82,209.94
  4. Step 4: Simplify right side
    54,801.56x = 6,758,473,823.75
  5. Step 5: Solve for x
    x = 6,758,473,823.75/54,801.56
  6. Step 6: Final answer
    x = 123,326.30

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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.