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Finding the Third Proportional to 85,847.34 and 131,323.78

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Solution

The third proportional to 85,847.34 and 131,323.78 is: 200,890.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,847.34 : 131,323.78 = 131,323.78 : x
  2. Step 2: Convert to fraction form
    85,847.34/131,323.78 = 131,323.78/x
  3. Step 3: Cross multiply
    85,847.34x = 131,323.78 × 131,323.78
  4. Step 4: Simplify right side
    85,847.34x = 17,245,935,521.80
  5. Step 5: Solve for x
    x = 17,245,935,521.80/85,847.34
  6. Step 6: Final answer
    x = 200,890.73

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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.