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Finding the Third Proportional to 50,254.50 and 110,370

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Solution

The third proportional to 50,254.50 and 110,370 is: 242,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,254.50 : 110,370 = 110,370 : x
  2. Step 2: Convert to fraction form
    50,254.50/110,370 = 110,370/x
  3. Step 3: Cross multiply
    50,254.50x = 110,370 × 110,370
  4. Step 4: Simplify right side
    50,254.50x = 12,181,536,900
  5. Step 5: Solve for x
    x = 12,181,536,900/50,254.50
  6. Step 6: Final answer
    x = 242,396.94

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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.