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Finding the Third Proportional to 50,722 and 73,060

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Solution

The third proportional to 50,722 and 73,060 is: 105,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 73,060 = 73,060 : x
  2. Step 2: Convert to fraction form
    50,722/73,060 = 73,060/x
  3. Step 3: Cross multiply
    50,722x = 73,060 × 73,060
  4. Step 4: Simplify right side
    50,722x = 5,337,763,600
  5. Step 5: Solve for x
    x = 5,337,763,600/50,722
  6. Step 6: Final answer
    x = 105,235.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.