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Finding the Third Proportional to 54,736.50 and 118,469

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Solution

The third proportional to 54,736.50 and 118,469 is: 256,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,736.50 : 118,469 = 118,469 : x
  2. Step 2: Convert to fraction form
    54,736.50/118,469 = 118,469/x
  3. Step 3: Cross multiply
    54,736.50x = 118,469 × 118,469
  4. Step 4: Simplify right side
    54,736.50x = 14,034,903,961
  5. Step 5: Solve for x
    x = 14,034,903,961/54,736.50
  6. Step 6: Final answer
    x = 256,408.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.