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Finding the Third Proportional to 54,948 and 117,672

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Solution

The third proportional to 54,948 and 117,672 is: 251,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,948 : 117,672 = 117,672 : x
  2. Step 2: Convert to fraction form
    54,948/117,672 = 117,672/x
  3. Step 3: Cross multiply
    54,948x = 117,672 × 117,672
  4. Step 4: Simplify right side
    54,948x = 13,846,699,584
  5. Step 5: Solve for x
    x = 13,846,699,584/54,948
  6. Step 6: Final answer
    x = 251,996.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.