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Finding the Third Proportional to 52,014 and 80,695

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Solution

The third proportional to 52,014 and 80,695 is: 125,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014 : 80,695 = 80,695 : x
  2. Step 2: Convert to fraction form
    52,014/80,695 = 80,695/x
  3. Step 3: Cross multiply
    52,014x = 80,695 × 80,695
  4. Step 4: Simplify right side
    52,014x = 6,511,683,025
  5. Step 5: Solve for x
    x = 6,511,683,025/52,014
  6. Step 6: Final answer
    x = 125,190.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.