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Finding the Third Proportional to 45,768 and 67,167

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Solution

The third proportional to 45,768 and 67,167 is: 98,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768 : 67,167 = 67,167 : x
  2. Step 2: Convert to fraction form
    45,768/67,167 = 67,167/x
  3. Step 3: Cross multiply
    45,768x = 67,167 × 67,167
  4. Step 4: Simplify right side
    45,768x = 4,511,405,889
  5. Step 5: Solve for x
    x = 4,511,405,889/45,768
  6. Step 6: Final answer
    x = 98,571.18

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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.