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Finding the Third Proportional to 51,025 and 76,589

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Solution

The third proportional to 51,025 and 76,589 is: 114,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,025 : 76,589 = 76,589 : x
  2. Step 2: Convert to fraction form
    51,025/76,589 = 76,589/x
  3. Step 3: Cross multiply
    51,025x = 76,589 × 76,589
  4. Step 4: Simplify right side
    51,025x = 5,865,874,921
  5. Step 5: Solve for x
    x = 5,865,874,921/51,025
  6. Step 6: Final answer
    x = 114,960.80

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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.