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Finding the Third Proportional to 54,778 and 117,860

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Solution

The third proportional to 54,778 and 117,860 is: 253,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,778 : 117,860 = 117,860 : x
  2. Step 2: Convert to fraction form
    54,778/117,860 = 117,860/x
  3. Step 3: Cross multiply
    54,778x = 117,860 × 117,860
  4. Step 4: Simplify right side
    54,778x = 13,890,979,600
  5. Step 5: Solve for x
    x = 13,890,979,600/54,778
  6. Step 6: Final answer
    x = 253,586.83

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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.