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Finding the Third Proportional to 50,066 and 110,212

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Solution

The third proportional to 50,066 and 110,212 is: 242,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066 : 110,212 = 110,212 : x
  2. Step 2: Convert to fraction form
    50,066/110,212 = 110,212/x
  3. Step 3: Cross multiply
    50,066x = 110,212 × 110,212
  4. Step 4: Simplify right side
    50,066x = 12,146,684,944
  5. Step 5: Solve for x
    x = 12,146,684,944/50,066
  6. Step 6: Final answer
    x = 242,613.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.