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Finding the Third Proportional to 50,968 and 108,498

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Solution

The third proportional to 50,968 and 108,498 is: 230,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,968 : 108,498 = 108,498 : x
  2. Step 2: Convert to fraction form
    50,968/108,498 = 108,498/x
  3. Step 3: Cross multiply
    50,968x = 108,498 × 108,498
  4. Step 4: Simplify right side
    50,968x = 11,771,816,004
  5. Step 5: Solve for x
    x = 11,771,816,004/50,968
  6. Step 6: Final answer
    x = 230,964.84

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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.