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Finding the Third Proportional to 49,636 and 108,018

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Solution

The third proportional to 49,636 and 108,018 is: 235,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,636 : 108,018 = 108,018 : x
  2. Step 2: Convert to fraction form
    49,636/108,018 = 108,018/x
  3. Step 3: Cross multiply
    49,636x = 108,018 × 108,018
  4. Step 4: Simplify right side
    49,636x = 11,667,888,324
  5. Step 5: Solve for x
    x = 11,667,888,324/49,636
  6. Step 6: Final answer
    x = 235,069.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.