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Finding the Third Proportional to 50,546 and 110,062

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Solution

The third proportional to 50,546 and 110,062 is: 239,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546 : 110,062 = 110,062 : x
  2. Step 2: Convert to fraction form
    50,546/110,062 = 110,062/x
  3. Step 3: Cross multiply
    50,546x = 110,062 × 110,062
  4. Step 4: Simplify right side
    50,546x = 12,113,643,844
  5. Step 5: Solve for x
    x = 12,113,643,844/50,546
  6. Step 6: Final answer
    x = 239,655.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.