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Finding the Third Proportional to 83,679.75 and 119,778.75

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Solution

The third proportional to 83,679.75 and 119,778.75 is: 171,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,679.75 : 119,778.75 = 119,778.75 : x
  2. Step 2: Convert to fraction form
    83,679.75/119,778.75 = 119,778.75/x
  3. Step 3: Cross multiply
    83,679.75x = 119,778.75 × 119,778.75
  4. Step 4: Simplify right side
    83,679.75x = 14,346,948,951.56
  5. Step 5: Solve for x
    x = 14,346,948,951.56/83,679.75
  6. Step 6: Final answer
    x = 171,450.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.