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Finding the Third Proportional to 101,538 and 234,021

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Solution

The third proportional to 101,538 and 234,021 is: 539,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 234,021 = 234,021 : x
  2. Step 2: Convert to fraction form
    101,538/234,021 = 234,021/x
  3. Step 3: Cross multiply
    101,538x = 234,021 × 234,021
  4. Step 4: Simplify right side
    101,538x = 54,765,828,441
  5. Step 5: Solve for x
    x = 54,765,828,441/101,538
  6. Step 6: Final answer
    x = 539,362.88

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.