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Finding the Third Proportional to 57,982 and 133,714

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Solution

The third proportional to 57,982 and 133,714 is: 308,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,982 : 133,714 = 133,714 : x
  2. Step 2: Convert to fraction form
    57,982/133,714 = 133,714/x
  3. Step 3: Cross multiply
    57,982x = 133,714 × 133,714
  4. Step 4: Simplify right side
    57,982x = 17,879,433,796
  5. Step 5: Solve for x
    x = 17,879,433,796/57,982
  6. Step 6: Final answer
    x = 308,361.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.