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Finding the Third Proportional to 75,738 and 164,015

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Solution

The third proportional to 75,738 and 164,015 is: 355,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,738 : 164,015 = 164,015 : x
  2. Step 2: Convert to fraction form
    75,738/164,015 = 164,015/x
  3. Step 3: Cross multiply
    75,738x = 164,015 × 164,015
  4. Step 4: Simplify right side
    75,738x = 26,900,920,225
  5. Step 5: Solve for x
    x = 26,900,920,225/75,738
  6. Step 6: Final answer
    x = 355,183.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.