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Finding the Third Proportional to 54,518 and 116,918

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Solution

The third proportional to 54,518 and 116,918 is: 250,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,518 : 116,918 = 116,918 : x
  2. Step 2: Convert to fraction form
    54,518/116,918 = 116,918/x
  3. Step 3: Cross multiply
    54,518x = 116,918 × 116,918
  4. Step 4: Simplify right side
    54,518x = 13,669,818,724
  5. Step 5: Solve for x
    x = 13,669,818,724/54,518
  6. Step 6: Final answer
    x = 250,739.55

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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.