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Finding the Third Proportional to 51,774 and 76,932

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Solution

The third proportional to 51,774 and 76,932 is: 114,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,774 : 76,932 = 76,932 : x
  2. Step 2: Convert to fraction form
    51,774/76,932 = 76,932/x
  3. Step 3: Cross multiply
    51,774x = 76,932 × 76,932
  4. Step 4: Simplify right side
    51,774x = 5,918,532,624
  5. Step 5: Solve for x
    x = 5,918,532,624/51,774
  6. Step 6: Final answer
    x = 114,314.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.