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Finding the Third Proportional to 76,804.50 and 119,249.25

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Solution

The third proportional to 76,804.50 and 119,249.25 is: 185,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804.50 : 119,249.25 = 119,249.25 : x
  2. Step 2: Convert to fraction form
    76,804.50/119,249.25 = 119,249.25/x
  3. Step 3: Cross multiply
    76,804.50x = 119,249.25 × 119,249.25
  4. Step 4: Simplify right side
    76,804.50x = 14,220,383,625.56
  5. Step 5: Solve for x
    x = 14,220,383,625.56/76,804.50
  6. Step 6: Final answer
    x = 185,150.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.