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Finding the Third Proportional to 85,826.25 and 179,499.38

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Solution

The third proportional to 85,826.25 and 179,499.38 is: 375,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,826.25 : 179,499.38 = 179,499.38 : x
  2. Step 2: Convert to fraction form
    85,826.25/179,499.38 = 179,499.38/x
  3. Step 3: Cross multiply
    85,826.25x = 179,499.38 × 179,499.38
  4. Step 4: Simplify right side
    85,826.25x = 32,220,025,625.39
  5. Step 5: Solve for x
    x = 32,220,025,625.39/85,826.25
  6. Step 6: Final answer
    x = 375,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.