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Finding the Third Proportional to 49,945 and 108,207

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Solution

The third proportional to 49,945 and 108,207 is: 234,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,945 : 108,207 = 108,207 : x
  2. Step 2: Convert to fraction form
    49,945/108,207 = 108,207/x
  3. Step 3: Cross multiply
    49,945x = 108,207 × 108,207
  4. Step 4: Simplify right side
    49,945x = 11,708,754,849
  5. Step 5: Solve for x
    x = 11,708,754,849/49,945
  6. Step 6: Final answer
    x = 234,432.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.