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Finding the Third Proportional to 110,880.50 and 173,704

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Solution

The third proportional to 110,880.50 and 173,704 is: 272,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880.50 : 173,704 = 173,704 : x
  2. Step 2: Convert to fraction form
    110,880.50/173,704 = 173,704/x
  3. Step 3: Cross multiply
    110,880.50x = 173,704 × 173,704
  4. Step 4: Simplify right side
    110,880.50x = 30,173,079,616
  5. Step 5: Solve for x
    x = 30,173,079,616/110,880.50
  6. Step 6: Final answer
    x = 272,122.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.