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Finding the Third Proportional to 50,778 and 104,778

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Solution

The third proportional to 50,778 and 104,778 is: 216,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778 : 104,778 = 104,778 : x
  2. Step 2: Convert to fraction form
    50,778/104,778 = 104,778/x
  3. Step 3: Cross multiply
    50,778x = 104,778 × 104,778
  4. Step 4: Simplify right side
    50,778x = 10,978,429,284
  5. Step 5: Solve for x
    x = 10,978,429,284/50,778
  6. Step 6: Final answer
    x = 216,204.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.