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Finding the Third Proportional to 117,717 and 180,110

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Solution

The third proportional to 117,717 and 180,110 is: 275,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,717 : 180,110 = 180,110 : x
  2. Step 2: Convert to fraction form
    117,717/180,110 = 180,110/x
  3. Step 3: Cross multiply
    117,717x = 180,110 × 180,110
  4. Step 4: Simplify right side
    117,717x = 32,439,612,100
  5. Step 5: Solve for x
    x = 32,439,612,100/117,717
  6. Step 6: Final answer
    x = 275,572.87

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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.