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Finding the Third Proportional to 81,892.69 and 125,431.03

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Solution

The third proportional to 81,892.69 and 125,431.03 is: 192,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.69 : 125,431.03 = 125,431.03 : x
  2. Step 2: Convert to fraction form
    81,892.69/125,431.03 = 125,431.03/x
  3. Step 3: Cross multiply
    81,892.69x = 125,431.03 × 125,431.03
  4. Step 4: Simplify right side
    81,892.69x = 15,732,943,600.44
  5. Step 5: Solve for x
    x = 15,732,943,600.44/81,892.69
  6. Step 6: Final answer
    x = 192,116.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.