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Finding the Third Proportional to 105,229.97 and 160,471.97

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Solution

The third proportional to 105,229.97 and 160,471.97 is: 244,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.97 : 160,471.97 = 160,471.97 : x
  2. Step 2: Convert to fraction form
    105,229.97/160,471.97 = 160,471.97/x
  3. Step 3: Cross multiply
    105,229.97x = 160,471.97 × 160,471.97
  4. Step 4: Simplify right side
    105,229.97x = 25,751,252,754.50
  5. Step 5: Solve for x
    x = 25,751,252,754.50/105,229.97
  6. Step 6: Final answer
    x = 244,714.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.