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Finding the Third Proportional to 49,207 and 104,858

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Solution

The third proportional to 49,207 and 104,858 is: 223,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207 : 104,858 = 104,858 : x
  2. Step 2: Convert to fraction form
    49,207/104,858 = 104,858/x
  3. Step 3: Cross multiply
    49,207x = 104,858 × 104,858
  4. Step 4: Simplify right side
    49,207x = 10,995,200,164
  5. Step 5: Solve for x
    x = 10,995,200,164/49,207
  6. Step 6: Final answer
    x = 223,447.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.