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Finding the Third Proportional to 75,716.44 and 118,793.25

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Solution

The third proportional to 75,716.44 and 118,793.25 is: 186,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,716.44 : 118,793.25 = 118,793.25 : x
  2. Step 2: Convert to fraction form
    75,716.44/118,793.25 = 118,793.25/x
  3. Step 3: Cross multiply
    75,716.44x = 118,793.25 × 118,793.25
  4. Step 4: Simplify right side
    75,716.44x = 14,111,836,245.56
  5. Step 5: Solve for x
    x = 14,111,836,245.56/75,716.44
  6. Step 6: Final answer
    x = 186,377.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.