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Finding the Third Proportional to 115,982 and 179,211

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Solution

The third proportional to 115,982 and 179,211 is: 276,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,982 : 179,211 = 179,211 : x
  2. Step 2: Convert to fraction form
    115,982/179,211 = 179,211/x
  3. Step 3: Cross multiply
    115,982x = 179,211 × 179,211
  4. Step 4: Simplify right side
    115,982x = 32,116,582,521
  5. Step 5: Solve for x
    x = 32,116,582,521/115,982
  6. Step 6: Final answer
    x = 276,910.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.