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Finding the Third Proportional to 43,290.75 and 69,157.50

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Solution

The third proportional to 43,290.75 and 69,157.50 is: 110,479.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,290.75 : 69,157.50 = 69,157.50 : x
  2. Step 2: Convert to fraction form
    43,290.75/69,157.50 = 69,157.50/x
  3. Step 3: Cross multiply
    43,290.75x = 69,157.50 × 69,157.50
  4. Step 4: Simplify right side
    43,290.75x = 4,782,759,806.25
  5. Step 5: Solve for x
    x = 4,782,759,806.25/43,290.75
  6. Step 6: Final answer
    x = 110,479.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.