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Finding the Third Proportional to 101,952 and 239,901

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Solution

The third proportional to 101,952 and 239,901 is: 564,505.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 239,901 = 239,901 : x
  2. Step 2: Convert to fraction form
    101,952/239,901 = 239,901/x
  3. Step 3: Cross multiply
    101,952x = 239,901 × 239,901
  4. Step 4: Simplify right side
    101,952x = 57,552,489,801
  5. Step 5: Solve for x
    x = 57,552,489,801/101,952
  6. Step 6: Final answer
    x = 564,505.75

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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.