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Finding the Third Proportional to 109,520.86 and 167,493.45

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Solution

The third proportional to 109,520.86 and 167,493.45 is: 256,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,520.86 : 167,493.45 = 167,493.45 : x
  2. Step 2: Convert to fraction form
    109,520.86/167,493.45 = 167,493.45/x
  3. Step 3: Cross multiply
    109,520.86x = 167,493.45 × 167,493.45
  4. Step 4: Simplify right side
    109,520.86x = 28,054,054,222.65
  5. Step 5: Solve for x
    x = 28,054,054,222.65/109,520.86
  6. Step 6: Final answer
    x = 256,152.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.