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Finding the Third Proportional to 83,112 and 171,125

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Solution

The third proportional to 83,112 and 171,125 is: 352,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112 : 171,125 = 171,125 : x
  2. Step 2: Convert to fraction form
    83,112/171,125 = 171,125/x
  3. Step 3: Cross multiply
    83,112x = 171,125 × 171,125
  4. Step 4: Simplify right side
    83,112x = 29,283,765,625
  5. Step 5: Solve for x
    x = 29,283,765,625/83,112
  6. Step 6: Final answer
    x = 352,341.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.