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Finding the Third Proportional to 78,672.75 and 120,651.75

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Solution

The third proportional to 78,672.75 and 120,651.75 is: 185,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.75 : 120,651.75 = 120,651.75 : x
  2. Step 2: Convert to fraction form
    78,672.75/120,651.75 = 120,651.75/x
  3. Step 3: Cross multiply
    78,672.75x = 120,651.75 × 120,651.75
  4. Step 4: Simplify right side
    78,672.75x = 14,556,844,778.06
  5. Step 5: Solve for x
    x = 14,556,844,778.06/78,672.75
  6. Step 6: Final answer
    x = 185,030.33

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.