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Finding the Third Proportional to 50,530 and 110,030

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Solution

The third proportional to 50,530 and 110,030 is: 239,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530 : 110,030 = 110,030 : x
  2. Step 2: Convert to fraction form
    50,530/110,030 = 110,030/x
  3. Step 3: Cross multiply
    50,530x = 110,030 × 110,030
  4. Step 4: Simplify right side
    50,530x = 12,106,600,900
  5. Step 5: Solve for x
    x = 12,106,600,900/50,530
  6. Step 6: Final answer
    x = 239,592.34

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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.