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Finding the Third Proportional to 76,286.25 and 118,023.75

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Solution

The third proportional to 76,286.25 and 118,023.75 is: 182,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,286.25 : 118,023.75 = 118,023.75 : x
  2. Step 2: Convert to fraction form
    76,286.25/118,023.75 = 118,023.75/x
  3. Step 3: Cross multiply
    76,286.25x = 118,023.75 × 118,023.75
  4. Step 4: Simplify right side
    76,286.25x = 13,929,605,564.06
  5. Step 5: Solve for x
    x = 13,929,605,564.06/76,286.25
  6. Step 6: Final answer
    x = 182,596.54

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