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Finding the Third Proportional to 50,968 and 103,628

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Solution

The third proportional to 50,968 and 103,628 is: 210,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,968 : 103,628 = 103,628 : x
  2. Step 2: Convert to fraction form
    50,968/103,628 = 103,628/x
  3. Step 3: Cross multiply
    50,968x = 103,628 × 103,628
  4. Step 4: Simplify right side
    50,968x = 10,738,762,384
  5. Step 5: Solve for x
    x = 10,738,762,384/50,968
  6. Step 6: Final answer
    x = 210,696.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.