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Finding the Third Proportional to 101,956 and 239,886

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Solution

The third proportional to 101,956 and 239,886 is: 564,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956 : 239,886 = 239,886 : x
  2. Step 2: Convert to fraction form
    101,956/239,886 = 239,886/x
  3. Step 3: Cross multiply
    101,956x = 239,886 × 239,886
  4. Step 4: Simplify right side
    101,956x = 57,545,292,996
  5. Step 5: Solve for x
    x = 57,545,292,996/101,956
  6. Step 6: Final answer
    x = 564,413.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.