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Finding the Third Proportional to 54,867 and 118,060

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Solution

The third proportional to 54,867 and 118,060 is: 254,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,867 : 118,060 = 118,060 : x
  2. Step 2: Convert to fraction form
    54,867/118,060 = 118,060/x
  3. Step 3: Cross multiply
    54,867x = 118,060 × 118,060
  4. Step 4: Simplify right side
    54,867x = 13,938,163,600
  5. Step 5: Solve for x
    x = 13,938,163,600/54,867
  6. Step 6: Final answer
    x = 254,035.46

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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.