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Finding the Third Proportional to 112,155.75 and 168,234.75

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Solution

The third proportional to 112,155.75 and 168,234.75 is: 252,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,155.75 : 168,234.75 = 168,234.75 : x
  2. Step 2: Convert to fraction form
    112,155.75/168,234.75 = 168,234.75/x
  3. Step 3: Cross multiply
    112,155.75x = 168,234.75 × 168,234.75
  4. Step 4: Simplify right side
    112,155.75x = 28,302,931,107.56
  5. Step 5: Solve for x
    x = 28,302,931,107.56/112,155.75
  6. Step 6: Final answer
    x = 252,353.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.