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Finding the Third Proportional to 33,761 and 75,298

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Solution

The third proportional to 33,761 and 75,298 is: 167,939.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,761 : 75,298 = 75,298 : x
  2. Step 2: Convert to fraction form
    33,761/75,298 = 75,298/x
  3. Step 3: Cross multiply
    33,761x = 75,298 × 75,298
  4. Step 4: Simplify right side
    33,761x = 5,669,788,804
  5. Step 5: Solve for x
    x = 5,669,788,804/33,761
  6. Step 6: Final answer
    x = 167,939.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.