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Finding the Third Proportional to 54,898 and 118,118

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Solution

The third proportional to 54,898 and 118,118 is: 254,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,898 : 118,118 = 118,118 : x
  2. Step 2: Convert to fraction form
    54,898/118,118 = 118,118/x
  3. Step 3: Cross multiply
    54,898x = 118,118 × 118,118
  4. Step 4: Simplify right side
    54,898x = 13,951,861,924
  5. Step 5: Solve for x
    x = 13,951,861,924/54,898
  6. Step 6: Final answer
    x = 254,141.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.