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Finding the Third Proportional to 51,519 and 108,572

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Solution

The third proportional to 51,519 and 108,572 is: 228,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,519 : 108,572 = 108,572 : x
  2. Step 2: Convert to fraction form
    51,519/108,572 = 108,572/x
  3. Step 3: Cross multiply
    51,519x = 108,572 × 108,572
  4. Step 4: Simplify right side
    51,519x = 11,787,879,184
  5. Step 5: Solve for x
    x = 11,787,879,184/51,519
  6. Step 6: Final answer
    x = 228,806.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.