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Finding the Third Proportional to 49,400.50 and 78,474.50

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Solution

The third proportional to 49,400.50 and 78,474.50 is: 124,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,400.50 : 78,474.50 = 78,474.50 : x
  2. Step 2: Convert to fraction form
    49,400.50/78,474.50 = 78,474.50/x
  3. Step 3: Cross multiply
    49,400.50x = 78,474.50 × 78,474.50
  4. Step 4: Simplify right side
    49,400.50x = 6,158,247,150.25
  5. Step 5: Solve for x
    x = 6,158,247,150.25/49,400.50
  6. Step 6: Final answer
    x = 124,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.