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Finding the Third Proportional to 76,082 and 164,194

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Solution

The third proportional to 76,082 and 164,194 is: 354,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,082 : 164,194 = 164,194 : x
  2. Step 2: Convert to fraction form
    76,082/164,194 = 164,194/x
  3. Step 3: Cross multiply
    76,082x = 164,194 × 164,194
  4. Step 4: Simplify right side
    76,082x = 26,959,669,636
  5. Step 5: Solve for x
    x = 26,959,669,636/76,082
  6. Step 6: Final answer
    x = 354,350.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.