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Finding the Third Proportional to 54,857 and 118,037

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Solution

The third proportional to 54,857 and 118,037 is: 253,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,857 : 118,037 = 118,037 : x
  2. Step 2: Convert to fraction form
    54,857/118,037 = 118,037/x
  3. Step 3: Cross multiply
    54,857x = 118,037 × 118,037
  4. Step 4: Simplify right side
    54,857x = 13,932,733,369
  5. Step 5: Solve for x
    x = 13,932,733,369/54,857
  6. Step 6: Final answer
    x = 253,982.78

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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.