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Finding the Third Proportional to 110,961 and 180,273

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Solution

The third proportional to 110,961 and 180,273 is: 292,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,961 : 180,273 = 180,273 : x
  2. Step 2: Convert to fraction form
    110,961/180,273 = 180,273/x
  3. Step 3: Cross multiply
    110,961x = 180,273 × 180,273
  4. Step 4: Simplify right side
    110,961x = 32,498,354,529
  5. Step 5: Solve for x
    x = 32,498,354,529/110,961
  6. Step 6: Final answer
    x = 292,880.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.