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Finding the Third Proportional to 53,981.44 and 116,163.84

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Solution

The third proportional to 53,981.44 and 116,163.84 is: 249,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,981.44 : 116,163.84 = 116,163.84 : x
  2. Step 2: Convert to fraction form
    53,981.44/116,163.84 = 116,163.84/x
  3. Step 3: Cross multiply
    53,981.44x = 116,163.84 × 116,163.84
  4. Step 4: Simplify right side
    53,981.44x = 13,494,038,594.77
  5. Step 5: Solve for x
    x = 13,494,038,594.77/53,981.44
  6. Step 6: Final answer
    x = 249,975.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.