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Finding the Third Proportional to 54,845 and 114,001

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Solution

The third proportional to 54,845 and 114,001 is: 236,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845 : 114,001 = 114,001 : x
  2. Step 2: Convert to fraction form
    54,845/114,001 = 114,001/x
  3. Step 3: Cross multiply
    54,845x = 114,001 × 114,001
  4. Step 4: Simplify right side
    54,845x = 12,996,228,001
  5. Step 5: Solve for x
    x = 12,996,228,001/54,845
  6. Step 6: Final answer
    x = 236,962.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.