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Finding the Third Proportional to 49,129.88 and 69,163.88

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Solution

The third proportional to 49,129.88 and 69,163.88 is: 97,367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,129.88 : 69,163.88 = 69,163.88 : x
  2. Step 2: Convert to fraction form
    49,129.88/69,163.88 = 69,163.88/x
  3. Step 3: Cross multiply
    49,129.88x = 69,163.88 × 69,163.88
  4. Step 4: Simplify right side
    49,129.88x = 4,783,641,605.02
  5. Step 5: Solve for x
    x = 4,783,641,605.02/49,129.88
  6. Step 6: Final answer
    x = 97,367.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.