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Finding the Third Proportional to 117,682 and 180,053

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Solution

The third proportional to 117,682 and 180,053 is: 275,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,682 : 180,053 = 180,053 : x
  2. Step 2: Convert to fraction form
    117,682/180,053 = 180,053/x
  3. Step 3: Cross multiply
    117,682x = 180,053 × 180,053
  4. Step 4: Simplify right side
    117,682x = 32,419,082,809
  5. Step 5: Solve for x
    x = 32,419,082,809/117,682
  6. Step 6: Final answer
    x = 275,480.39

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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.