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Finding the Third Proportional to 49,434 and 102,324

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Solution

The third proportional to 49,434 and 102,324 is: 211,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,434 : 102,324 = 102,324 : x
  2. Step 2: Convert to fraction form
    49,434/102,324 = 102,324/x
  3. Step 3: Cross multiply
    49,434x = 102,324 × 102,324
  4. Step 4: Simplify right side
    49,434x = 10,470,200,976
  5. Step 5: Solve for x
    x = 10,470,200,976/49,434
  6. Step 6: Final answer
    x = 211,801.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.