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Finding the Third Proportional to 101,924 and 239,821

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Solution

The third proportional to 101,924 and 239,821 is: 564,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924 : 239,821 = 239,821 : x
  2. Step 2: Convert to fraction form
    101,924/239,821 = 239,821/x
  3. Step 3: Cross multiply
    101,924x = 239,821 × 239,821
  4. Step 4: Simplify right side
    101,924x = 57,514,112,041
  5. Step 5: Solve for x
    x = 57,514,112,041/101,924
  6. Step 6: Final answer
    x = 564,284.29

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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.