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Finding the Third Proportional to 117,774 and 180,873

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Solution

The third proportional to 117,774 and 180,873 is: 277,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774 : 180,873 = 180,873 : x
  2. Step 2: Convert to fraction form
    117,774/180,873 = 180,873/x
  3. Step 3: Cross multiply
    117,774x = 180,873 × 180,873
  4. Step 4: Simplify right side
    117,774x = 32,715,042,129
  5. Step 5: Solve for x
    x = 32,715,042,129/117,774
  6. Step 6: Final answer
    x = 277,778.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.