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Finding the Third Proportional to 73,689.75 and 111,234.94

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Solution

The third proportional to 73,689.75 and 111,234.94 is: 167,909.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,689.75 : 111,234.94 = 111,234.94 : x
  2. Step 2: Convert to fraction form
    73,689.75/111,234.94 = 111,234.94/x
  3. Step 3: Cross multiply
    73,689.75x = 111,234.94 × 111,234.94
  4. Step 4: Simplify right side
    73,689.75x = 12,373,211,320.63
  5. Step 5: Solve for x
    x = 12,373,211,320.63/73,689.75
  6. Step 6: Final answer
    x = 167,909.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.