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Finding the Third Proportional to 50,825.50 and 111,464

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Solution

The third proportional to 50,825.50 and 111,464 is: 244,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,825.50 : 111,464 = 111,464 : x
  2. Step 2: Convert to fraction form
    50,825.50/111,464 = 111,464/x
  3. Step 3: Cross multiply
    50,825.50x = 111,464 × 111,464
  4. Step 4: Simplify right side
    50,825.50x = 12,424,223,296
  5. Step 5: Solve for x
    x = 12,424,223,296/50,825.50
  6. Step 6: Final answer
    x = 244,448.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.