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Finding the Third Proportional to 117,887 and 180,273

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Solution

The third proportional to 117,887 and 180,273 is: 275,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,887 : 180,273 = 180,273 : x
  2. Step 2: Convert to fraction form
    117,887/180,273 = 180,273/x
  3. Step 3: Cross multiply
    117,887x = 180,273 × 180,273
  4. Step 4: Simplify right side
    117,887x = 32,498,354,529
  5. Step 5: Solve for x
    x = 32,498,354,529/117,887
  6. Step 6: Final answer
    x = 275,673.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.