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Finding the Third Proportional to 76,093.75 and 118,285.25

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Solution

The third proportional to 76,093.75 and 118,285.25 is: 183,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093.75 : 118,285.25 = 118,285.25 : x
  2. Step 2: Convert to fraction form
    76,093.75/118,285.25 = 118,285.25/x
  3. Step 3: Cross multiply
    76,093.75x = 118,285.25 × 118,285.25
  4. Step 4: Simplify right side
    76,093.75x = 13,991,400,367.56
  5. Step 5: Solve for x
    x = 13,991,400,367.56/76,093.75
  6. Step 6: Final answer
    x = 183,870.56

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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.