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Finding the Third Proportional to 85,200.75 and 179,215.25

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Solution

The third proportional to 85,200.75 and 179,215.25 is: 376,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.75 : 179,215.25 = 179,215.25 : x
  2. Step 2: Convert to fraction form
    85,200.75/179,215.25 = 179,215.25/x
  3. Step 3: Cross multiply
    85,200.75x = 179,215.25 × 179,215.25
  4. Step 4: Simplify right side
    85,200.75x = 32,118,105,832.56
  5. Step 5: Solve for x
    x = 32,118,105,832.56/85,200.75
  6. Step 6: Final answer
    x = 376,969.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.