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Finding the Third Proportional to 54,598.50 and 113,863.50

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Solution

The third proportional to 54,598.50 and 113,863.50 is: 237,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,598.50 : 113,863.50 = 113,863.50 : x
  2. Step 2: Convert to fraction form
    54,598.50/113,863.50 = 113,863.50/x
  3. Step 3: Cross multiply
    54,598.50x = 113,863.50 × 113,863.50
  4. Step 4: Simplify right side
    54,598.50x = 12,964,896,632.25
  5. Step 5: Solve for x
    x = 12,964,896,632.25/54,598.50
  6. Step 6: Final answer
    x = 237,458.84

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.