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Finding the Third Proportional to 80,783.25 and 113,199.75

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Solution

The third proportional to 80,783.25 and 113,199.75 is: 158,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,783.25 : 113,199.75 = 113,199.75 : x
  2. Step 2: Convert to fraction form
    80,783.25/113,199.75 = 113,199.75/x
  3. Step 3: Cross multiply
    80,783.25x = 113,199.75 × 113,199.75
  4. Step 4: Simplify right side
    80,783.25x = 12,814,183,400.06
  5. Step 5: Solve for x
    x = 12,814,183,400.06/80,783.25
  6. Step 6: Final answer
    x = 158,624.26

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Why These Related Problems?

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