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Finding the Third Proportional to 35,109 and 75,837

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Solution

The third proportional to 35,109 and 75,837 is: 163,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,109 : 75,837 = 75,837 : x
  2. Step 2: Convert to fraction form
    35,109/75,837 = 75,837/x
  3. Step 3: Cross multiply
    35,109x = 75,837 × 75,837
  4. Step 4: Simplify right side
    35,109x = 5,751,250,569
  5. Step 5: Solve for x
    x = 5,751,250,569/35,109
  6. Step 6: Final answer
    x = 163,811.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.