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Finding the Third Proportional to 35,226 and 73,361.25

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Solution

The third proportional to 35,226 and 73,361.25 is: 152,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,226 : 73,361.25 = 73,361.25 : x
  2. Step 2: Convert to fraction form
    35,226/73,361.25 = 73,361.25/x
  3. Step 3: Cross multiply
    35,226x = 73,361.25 × 73,361.25
  4. Step 4: Simplify right side
    35,226x = 5,381,873,001.56
  5. Step 5: Solve for x
    x = 5,381,873,001.56/35,226
  6. Step 6: Final answer
    x = 152,781.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.