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Finding the Third Proportional to 111,730.64 and 170,944.80

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Solution

The third proportional to 111,730.64 and 170,944.80 is: 261,540.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,730.64 : 170,944.80 = 170,944.80 : x
  2. Step 2: Convert to fraction form
    111,730.64/170,944.80 = 170,944.80/x
  3. Step 3: Cross multiply
    111,730.64x = 170,944.80 × 170,944.80
  4. Step 4: Simplify right side
    111,730.64x = 29,222,126,249.65
  5. Step 5: Solve for x
    x = 29,222,126,249.65/111,730.64
  6. Step 6: Final answer
    x = 261,540.85

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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.