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Finding the Third Proportional to 101,926 and 239,826

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Solution

The third proportional to 101,926 and 239,826 is: 564,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,926 : 239,826 = 239,826 : x
  2. Step 2: Convert to fraction form
    101,926/239,826 = 239,826/x
  3. Step 3: Cross multiply
    101,926x = 239,826 × 239,826
  4. Step 4: Simplify right side
    101,926x = 57,516,510,276
  5. Step 5: Solve for x
    x = 57,516,510,276/101,926
  6. Step 6: Final answer
    x = 564,296.75

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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.