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Finding the Third Proportional to 114,117.75 and 177,396.75

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Solution

The third proportional to 114,117.75 and 177,396.75 is: 275,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.75 : 177,396.75 = 177,396.75 : x
  2. Step 2: Convert to fraction form
    114,117.75/177,396.75 = 177,396.75/x
  3. Step 3: Cross multiply
    114,117.75x = 177,396.75 × 177,396.75
  4. Step 4: Simplify right side
    114,117.75x = 31,469,606,910.56
  5. Step 5: Solve for x
    x = 31,469,606,910.56/114,117.75
  6. Step 6: Final answer
    x = 275,764.35

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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.