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Finding the Third Proportional to 57,234.09 and 116,085.66

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Solution

The third proportional to 57,234.09 and 116,085.66 is: 235,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,234.09 : 116,085.66 = 116,085.66 : x
  2. Step 2: Convert to fraction form
    57,234.09/116,085.66 = 116,085.66/x
  3. Step 3: Cross multiply
    57,234.09x = 116,085.66 × 116,085.66
  4. Step 4: Simplify right side
    57,234.09x = 13,475,879,586.99
  5. Step 5: Solve for x
    x = 13,475,879,586.99/57,234.09
  6. Step 6: Final answer
    x = 235,451.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.