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Finding the Third Proportional to 80,370.75 and 121,284.75

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Solution

The third proportional to 80,370.75 and 121,284.75 is: 183,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,370.75 : 121,284.75 = 121,284.75 : x
  2. Step 2: Convert to fraction form
    80,370.75/121,284.75 = 121,284.75/x
  3. Step 3: Cross multiply
    80,370.75x = 121,284.75 × 121,284.75
  4. Step 4: Simplify right side
    80,370.75x = 14,709,990,582.56
  5. Step 5: Solve for x
    x = 14,709,990,582.56/80,370.75
  6. Step 6: Final answer
    x = 183,026.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.