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Finding the Third Proportional to 80,001 and 122,674.50

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Solution

The third proportional to 80,001 and 122,674.50 is: 188,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,001 : 122,674.50 = 122,674.50 : x
  2. Step 2: Convert to fraction form
    80,001/122,674.50 = 122,674.50/x
  3. Step 3: Cross multiply
    80,001x = 122,674.50 × 122,674.50
  4. Step 4: Simplify right side
    80,001x = 15,049,032,950.25
  5. Step 5: Solve for x
    x = 15,049,032,950.25/80,001
  6. Step 6: Final answer
    x = 188,110.56

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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.