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Finding the Third Proportional to 76,738 and 164,136

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Solution

The third proportional to 76,738 and 164,136 is: 351,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738 : 164,136 = 164,136 : x
  2. Step 2: Convert to fraction form
    76,738/164,136 = 164,136/x
  3. Step 3: Cross multiply
    76,738x = 164,136 × 164,136
  4. Step 4: Simplify right side
    76,738x = 26,940,626,496
  5. Step 5: Solve for x
    x = 26,940,626,496/76,738
  6. Step 6: Final answer
    x = 351,072.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.