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Finding the Third Proportional to 55,524.75 and 121,851.75

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Solution

The third proportional to 55,524.75 and 121,851.75 is: 267,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,524.75 : 121,851.75 = 121,851.75 : x
  2. Step 2: Convert to fraction form
    55,524.75/121,851.75 = 121,851.75/x
  3. Step 3: Cross multiply
    55,524.75x = 121,851.75 × 121,851.75
  4. Step 4: Simplify right side
    55,524.75x = 14,847,848,978.06
  5. Step 5: Solve for x
    x = 14,847,848,978.06/55,524.75
  6. Step 6: Final answer
    x = 267,409.56

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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.