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Finding the Third Proportional to 76,361.50 and 157,961

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Solution

The third proportional to 76,361.50 and 157,961 is: 326,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.50 : 157,961 = 157,961 : x
  2. Step 2: Convert to fraction form
    76,361.50/157,961 = 157,961/x
  3. Step 3: Cross multiply
    76,361.50x = 157,961 × 157,961
  4. Step 4: Simplify right side
    76,361.50x = 24,951,677,521
  5. Step 5: Solve for x
    x = 24,951,677,521/76,361.50
  6. Step 6: Final answer
    x = 326,757.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.