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Finding the Third Proportional to 117,016.75 and 175,527.75

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Solution

The third proportional to 117,016.75 and 175,527.75 is: 263,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,016.75 : 175,527.75 = 175,527.75 : x
  2. Step 2: Convert to fraction form
    117,016.75/175,527.75 = 175,527.75/x
  3. Step 3: Cross multiply
    117,016.75x = 175,527.75 × 175,527.75
  4. Step 4: Simplify right side
    117,016.75x = 30,809,991,020.06
  5. Step 5: Solve for x
    x = 30,809,991,020.06/117,016.75
  6. Step 6: Final answer
    x = 263,295.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.