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Finding the Third Proportional to 107,039 and 235,266

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Solution

The third proportional to 107,039 and 235,266 is: 517,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,039 : 235,266 = 235,266 : x
  2. Step 2: Convert to fraction form
    107,039/235,266 = 235,266/x
  3. Step 3: Cross multiply
    107,039x = 235,266 × 235,266
  4. Step 4: Simplify right side
    107,039x = 55,350,090,756
  5. Step 5: Solve for x
    x = 55,350,090,756/107,039
  6. Step 6: Final answer
    x = 517,102.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.