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Finding the Third Proportional to 50,425.50 and 110,085

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Solution

The third proportional to 50,425.50 and 110,085 is: 240,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,425.50 : 110,085 = 110,085 : x
  2. Step 2: Convert to fraction form
    50,425.50/110,085 = 110,085/x
  3. Step 3: Cross multiply
    50,425.50x = 110,085 × 110,085
  4. Step 4: Simplify right side
    50,425.50x = 12,118,707,225
  5. Step 5: Solve for x
    x = 12,118,707,225/50,425.50
  6. Step 6: Final answer
    x = 240,328.95

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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.