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Finding the Third Proportional to 111,843.66 and 169,393.50

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Solution

The third proportional to 111,843.66 and 169,393.50 is: 256,555.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,843.66 : 169,393.50 = 169,393.50 : x
  2. Step 2: Convert to fraction form
    111,843.66/169,393.50 = 169,393.50/x
  3. Step 3: Cross multiply
    111,843.66x = 169,393.50 × 169,393.50
  4. Step 4: Simplify right side
    111,843.66x = 28,694,157,842.25
  5. Step 5: Solve for x
    x = 28,694,157,842.25/111,843.66
  6. Step 6: Final answer
    x = 256,555.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.