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Finding the Third Proportional to 112,839.75 and 171,481.50

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Solution

The third proportional to 112,839.75 and 171,481.50 is: 260,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,839.75 : 171,481.50 = 171,481.50 : x
  2. Step 2: Convert to fraction form
    112,839.75/171,481.50 = 171,481.50/x
  3. Step 3: Cross multiply
    112,839.75x = 171,481.50 × 171,481.50
  4. Step 4: Simplify right side
    112,839.75x = 29,405,904,842.25
  5. Step 5: Solve for x
    x = 29,405,904,842.25/112,839.75
  6. Step 6: Final answer
    x = 260,598.81

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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.