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Finding the Third Proportional to 49,203 and 101,907

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Solution

The third proportional to 49,203 and 101,907 is: 211,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 101,907 = 101,907 : x
  2. Step 2: Convert to fraction form
    49,203/101,907 = 101,907/x
  3. Step 3: Cross multiply
    49,203x = 101,907 × 101,907
  4. Step 4: Simplify right side
    49,203x = 10,385,036,649
  5. Step 5: Solve for x
    x = 10,385,036,649/49,203
  6. Step 6: Final answer
    x = 211,065.11

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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.