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Finding the Third Proportional to 112,507.31 and 158,255.44

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Solution

The third proportional to 112,507.31 and 158,255.44 is: 222,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,507.31 : 158,255.44 = 158,255.44 : x
  2. Step 2: Convert to fraction form
    112,507.31/158,255.44 = 158,255.44/x
  3. Step 3: Cross multiply
    112,507.31x = 158,255.44 × 158,255.44
  4. Step 4: Simplify right side
    112,507.31x = 25,044,783,498.32
  5. Step 5: Solve for x
    x = 25,044,783,498.32/112,507.31
  6. Step 6: Final answer
    x = 222,605.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.