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Finding the Third Proportional to 54,608.50 and 117,600

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Solution

The third proportional to 54,608.50 and 117,600 is: 253,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,608.50 : 117,600 = 117,600 : x
  2. Step 2: Convert to fraction form
    54,608.50/117,600 = 117,600/x
  3. Step 3: Cross multiply
    54,608.50x = 117,600 × 117,600
  4. Step 4: Simplify right side
    54,608.50x = 13,829,760,000
  5. Step 5: Solve for x
    x = 13,829,760,000/54,608.50
  6. Step 6: Final answer
    x = 253,252.88

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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.