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Finding the Third Proportional to 104,333 and 167,982

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Solution

The third proportional to 104,333 and 167,982 is: 270,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,333 : 167,982 = 167,982 : x
  2. Step 2: Convert to fraction form
    104,333/167,982 = 167,982/x
  3. Step 3: Cross multiply
    104,333x = 167,982 × 167,982
  4. Step 4: Simplify right side
    104,333x = 28,217,952,324
  5. Step 5: Solve for x
    x = 28,217,952,324/104,333
  6. Step 6: Final answer
    x = 270,460.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.