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Finding the Third Proportional to 54,635.50 and 118,885

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Solution

The third proportional to 54,635.50 and 118,885 is: 258,689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,635.50 : 118,885 = 118,885 : x
  2. Step 2: Convert to fraction form
    54,635.50/118,885 = 118,885/x
  3. Step 3: Cross multiply
    54,635.50x = 118,885 × 118,885
  4. Step 4: Simplify right side
    54,635.50x = 14,133,643,225
  5. Step 5: Solve for x
    x = 14,133,643,225/54,635.50
  6. Step 6: Final answer
    x = 258,689.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.