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Finding the Third Proportional to 110,826 and 236,130

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Solution

The third proportional to 110,826 and 236,130 is: 503,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,826 : 236,130 = 236,130 : x
  2. Step 2: Convert to fraction form
    110,826/236,130 = 236,130/x
  3. Step 3: Cross multiply
    110,826x = 236,130 × 236,130
  4. Step 4: Simplify right side
    110,826x = 55,757,376,900
  5. Step 5: Solve for x
    x = 55,757,376,900/110,826
  6. Step 6: Final answer
    x = 503,107.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.