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Finding the Third Proportional to 81,244 and 164,716

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Solution

The third proportional to 81,244 and 164,716 is: 333,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,244 : 164,716 = 164,716 : x
  2. Step 2: Convert to fraction form
    81,244/164,716 = 164,716/x
  3. Step 3: Cross multiply
    81,244x = 164,716 × 164,716
  4. Step 4: Simplify right side
    81,244x = 27,131,360,656
  5. Step 5: Solve for x
    x = 27,131,360,656/81,244
  6. Step 6: Final answer
    x = 333,949.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.