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Finding the Third Proportional to 51,314 and 76,765

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Solution

The third proportional to 51,314 and 76,765 is: 114,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,314 : 76,765 = 76,765 : x
  2. Step 2: Convert to fraction form
    51,314/76,765 = 76,765/x
  3. Step 3: Cross multiply
    51,314x = 76,765 × 76,765
  4. Step 4: Simplify right side
    51,314x = 5,892,865,225
  5. Step 5: Solve for x
    x = 5,892,865,225/51,314
  6. Step 6: Final answer
    x = 114,839.33

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