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Finding the Third Proportional to 116,627 and 180,093

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Solution

The third proportional to 116,627 and 180,093 is: 278,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,627 : 180,093 = 180,093 : x
  2. Step 2: Convert to fraction form
    116,627/180,093 = 180,093/x
  3. Step 3: Cross multiply
    116,627x = 180,093 × 180,093
  4. Step 4: Simplify right side
    116,627x = 32,433,488,649
  5. Step 5: Solve for x
    x = 32,433,488,649/116,627
  6. Step 6: Final answer
    x = 278,095.88

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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.