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Finding the Third Proportional to 49,639 and 103,288

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Solution

The third proportional to 49,639 and 103,288 is: 214,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,639 : 103,288 = 103,288 : x
  2. Step 2: Convert to fraction form
    49,639/103,288 = 103,288/x
  3. Step 3: Cross multiply
    49,639x = 103,288 × 103,288
  4. Step 4: Simplify right side
    49,639x = 10,668,410,944
  5. Step 5: Solve for x
    x = 10,668,410,944/49,639
  6. Step 6: Final answer
    x = 214,919.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.