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Finding the Third Proportional to 35,714 and 84,181

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Solution

The third proportional to 35,714 and 84,181 is: 198,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714 : 84,181 = 84,181 : x
  2. Step 2: Convert to fraction form
    35,714/84,181 = 84,181/x
  3. Step 3: Cross multiply
    35,714x = 84,181 × 84,181
  4. Step 4: Simplify right side
    35,714x = 7,086,440,761
  5. Step 5: Solve for x
    x = 7,086,440,761/35,714
  6. Step 6: Final answer
    x = 198,421.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.