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Finding the Third Proportional to 76,081 and 110,211

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Solution

The third proportional to 76,081 and 110,211 is: 159,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,081 : 110,211 = 110,211 : x
  2. Step 2: Convert to fraction form
    76,081/110,211 = 110,211/x
  3. Step 3: Cross multiply
    76,081x = 110,211 × 110,211
  4. Step 4: Simplify right side
    76,081x = 12,146,464,521
  5. Step 5: Solve for x
    x = 12,146,464,521/76,081
  6. Step 6: Final answer
    x = 159,651.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.