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Finding the Third Proportional to 80,951.63 and 113,514.75

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Solution

The third proportional to 80,951.63 and 113,514.75 is: 159,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,951.63 : 113,514.75 = 113,514.75 : x
  2. Step 2: Convert to fraction form
    80,951.63/113,514.75 = 113,514.75/x
  3. Step 3: Cross multiply
    80,951.63x = 113,514.75 × 113,514.75
  4. Step 4: Simplify right side
    80,951.63x = 12,885,598,467.56
  5. Step 5: Solve for x
    x = 12,885,598,467.56/80,951.63
  6. Step 6: Final answer
    x = 159,176.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.