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Finding the Third Proportional to 54,592 and 118,400

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Solution

The third proportional to 54,592 and 118,400 is: 256,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592 : 118,400 = 118,400 : x
  2. Step 2: Convert to fraction form
    54,592/118,400 = 118,400/x
  3. Step 3: Cross multiply
    54,592x = 118,400 × 118,400
  4. Step 4: Simplify right side
    54,592x = 14,018,560,000
  5. Step 5: Solve for x
    x = 14,018,560,000/54,592
  6. Step 6: Final answer
    x = 256,787.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.