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Finding the Third Proportional to 36,211 and 75,729

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Solution

The third proportional to 36,211 and 75,729 is: 158,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,211 : 75,729 = 75,729 : x
  2. Step 2: Convert to fraction form
    36,211/75,729 = 75,729/x
  3. Step 3: Cross multiply
    36,211x = 75,729 × 75,729
  4. Step 4: Simplify right side
    36,211x = 5,734,881,441
  5. Step 5: Solve for x
    x = 5,734,881,441/36,211
  6. Step 6: Final answer
    x = 158,374.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.