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Finding the Third Proportional to 82,015 and 133,923

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Solution

The third proportional to 82,015 and 133,923 is: 218,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,015 : 133,923 = 133,923 : x
  2. Step 2: Convert to fraction form
    82,015/133,923 = 133,923/x
  3. Step 3: Cross multiply
    82,015x = 133,923 × 133,923
  4. Step 4: Simplify right side
    82,015x = 17,935,369,929
  5. Step 5: Solve for x
    x = 17,935,369,929/82,015
  6. Step 6: Final answer
    x = 218,684.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.