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Finding the Third Proportional to 81,726 and 166,892

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Solution

The third proportional to 81,726 and 166,892 is: 340,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726 : 166,892 = 166,892 : x
  2. Step 2: Convert to fraction form
    81,726/166,892 = 166,892/x
  3. Step 3: Cross multiply
    81,726x = 166,892 × 166,892
  4. Step 4: Simplify right side
    81,726x = 27,852,939,664
  5. Step 5: Solve for x
    x = 27,852,939,664/81,726
  6. Step 6: Final answer
    x = 340,808.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.