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Finding the Third Proportional to 51,903 and 73,965

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Solution

The third proportional to 51,903 and 73,965 is: 105,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903 : 73,965 = 73,965 : x
  2. Step 2: Convert to fraction form
    51,903/73,965 = 73,965/x
  3. Step 3: Cross multiply
    51,903x = 73,965 × 73,965
  4. Step 4: Simplify right side
    51,903x = 5,470,821,225
  5. Step 5: Solve for x
    x = 5,470,821,225/51,903
  6. Step 6: Final answer
    x = 105,404.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.