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Finding the Third Proportional to 50,873.75 and 110,503

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Solution

The third proportional to 50,873.75 and 110,503 is: 240,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,873.75 : 110,503 = 110,503 : x
  2. Step 2: Convert to fraction form
    50,873.75/110,503 = 110,503/x
  3. Step 3: Cross multiply
    50,873.75x = 110,503 × 110,503
  4. Step 4: Simplify right side
    50,873.75x = 12,210,913,009
  5. Step 5: Solve for x
    x = 12,210,913,009/50,873.75
  6. Step 6: Final answer
    x = 240,023.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.