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Finding the Third Proportional to 51,903 and 100,971

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Solution

The third proportional to 51,903 and 100,971 is: 196,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903 : 100,971 = 100,971 : x
  2. Step 2: Convert to fraction form
    51,903/100,971 = 100,971/x
  3. Step 3: Cross multiply
    51,903x = 100,971 × 100,971
  4. Step 4: Simplify right side
    51,903x = 10,195,142,841
  5. Step 5: Solve for x
    x = 10,195,142,841/51,903
  6. Step 6: Final answer
    x = 196,426.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.