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Finding the Third Proportional to 54,615.94 and 82,425.09

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Solution

The third proportional to 54,615.94 and 82,425.09 is: 124,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615.94 : 82,425.09 = 82,425.09 : x
  2. Step 2: Convert to fraction form
    54,615.94/82,425.09 = 82,425.09/x
  3. Step 3: Cross multiply
    54,615.94x = 82,425.09 × 82,425.09
  4. Step 4: Simplify right side
    54,615.94x = 6,793,896,079.70
  5. Step 5: Solve for x
    x = 6,793,896,079.70/54,615.94
  6. Step 6: Final answer
    x = 124,394.02

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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.