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Finding the Third Proportional to 51,269 and 76,903

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Solution

The third proportional to 51,269 and 76,903 is: 115,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,269 : 76,903 = 76,903 : x
  2. Step 2: Convert to fraction form
    51,269/76,903 = 76,903/x
  3. Step 3: Cross multiply
    51,269x = 76,903 × 76,903
  4. Step 4: Simplify right side
    51,269x = 5,914,071,409
  5. Step 5: Solve for x
    x = 5,914,071,409/51,269
  6. Step 6: Final answer
    x = 115,353.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.