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Finding the Third Proportional to 117,722 and 180,039

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Solution

The third proportional to 117,722 and 180,039 is: 275,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722 : 180,039 = 180,039 : x
  2. Step 2: Convert to fraction form
    117,722/180,039 = 180,039/x
  3. Step 3: Cross multiply
    117,722x = 180,039 × 180,039
  4. Step 4: Simplify right side
    117,722x = 32,414,041,521
  5. Step 5: Solve for x
    x = 32,414,041,521/117,722
  6. Step 6: Final answer
    x = 275,343.96

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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.