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Finding the Third Proportional to 54,507.94 and 79,967.25

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Solution

The third proportional to 54,507.94 and 79,967.25 is: 117,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,507.94 : 79,967.25 = 79,967.25 : x
  2. Step 2: Convert to fraction form
    54,507.94/79,967.25 = 79,967.25/x
  3. Step 3: Cross multiply
    54,507.94x = 79,967.25 × 79,967.25
  4. Step 4: Simplify right side
    54,507.94x = 6,394,761,072.56
  5. Step 5: Solve for x
    x = 6,394,761,072.56/54,507.94
  6. Step 6: Final answer
    x = 117,317.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.