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Finding the Third Proportional to 53,400.75 and 113,704.13

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Solution

The third proportional to 53,400.75 and 113,704.13 is: 242,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,400.75 : 113,704.13 = 113,704.13 : x
  2. Step 2: Convert to fraction form
    53,400.75/113,704.13 = 113,704.13/x
  3. Step 3: Cross multiply
    53,400.75x = 113,704.13 × 113,704.13
  4. Step 4: Simplify right side
    53,400.75x = 12,928,628,042.02
  5. Step 5: Solve for x
    x = 12,928,628,042.02/53,400.75
  6. Step 6: Final answer
    x = 242,105.74

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.