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Finding the Third Proportional to 51,518 and 119,273

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Solution

The third proportional to 51,518 and 119,273 is: 276,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,518 : 119,273 = 119,273 : x
  2. Step 2: Convert to fraction form
    51,518/119,273 = 119,273/x
  3. Step 3: Cross multiply
    51,518x = 119,273 × 119,273
  4. Step 4: Simplify right side
    51,518x = 14,226,048,529
  5. Step 5: Solve for x
    x = 14,226,048,529/51,518
  6. Step 6: Final answer
    x = 276,137.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.