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Finding the Third Proportional to 50,003 and 73,029

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Solution

The third proportional to 50,003 and 73,029 is: 106,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003 : 73,029 = 73,029 : x
  2. Step 2: Convert to fraction form
    50,003/73,029 = 73,029/x
  3. Step 3: Cross multiply
    50,003x = 73,029 × 73,029
  4. Step 4: Simplify right side
    50,003x = 5,333,234,841
  5. Step 5: Solve for x
    x = 5,333,234,841/50,003
  6. Step 6: Final answer
    x = 106,658.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.