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Finding the Third Proportional to 94,950.75 and 146,975.25

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Solution

The third proportional to 94,950.75 and 146,975.25 is: 227,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,950.75 : 146,975.25 = 146,975.25 : x
  2. Step 2: Convert to fraction form
    94,950.75/146,975.25 = 146,975.25/x
  3. Step 3: Cross multiply
    94,950.75x = 146,975.25 × 146,975.25
  4. Step 4: Simplify right side
    94,950.75x = 21,601,724,112.56
  5. Step 5: Solve for x
    x = 21,601,724,112.56/94,950.75
  6. Step 6: Final answer
    x = 227,504.51

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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.