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Finding the Third Proportional to 49,968 and 107,020

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Solution

The third proportional to 49,968 and 107,020 is: 229,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 107,020 = 107,020 : x
  2. Step 2: Convert to fraction form
    49,968/107,020 = 107,020/x
  3. Step 3: Cross multiply
    49,968x = 107,020 × 107,020
  4. Step 4: Simplify right side
    49,968x = 11,453,280,400
  5. Step 5: Solve for x
    x = 11,453,280,400/49,968
  6. Step 6: Final answer
    x = 229,212.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.