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Finding the Third Proportional to 52,674 and 80,035

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Solution

The third proportional to 52,674 and 80,035 is: 121,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,674 : 80,035 = 80,035 : x
  2. Step 2: Convert to fraction form
    52,674/80,035 = 80,035/x
  3. Step 3: Cross multiply
    52,674x = 80,035 × 80,035
  4. Step 4: Simplify right side
    52,674x = 6,405,601,225
  5. Step 5: Solve for x
    x = 6,405,601,225/52,674
  6. Step 6: Final answer
    x = 121,608.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.