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Finding the Third Proportional to 112,573.88 and 171,183

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Solution

The third proportional to 112,573.88 and 171,183 is: 260,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,573.88 : 171,183 = 171,183 : x
  2. Step 2: Convert to fraction form
    112,573.88/171,183 = 171,183/x
  3. Step 3: Cross multiply
    112,573.88x = 171,183 × 171,183
  4. Step 4: Simplify right side
    112,573.88x = 29,303,619,489
  5. Step 5: Solve for x
    x = 29,303,619,489/112,573.88
  6. Step 6: Final answer
    x = 260,305.68

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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.