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Finding the Third Proportional to 49,975 and 107,360.50

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Solution

The third proportional to 49,975 and 107,360.50 is: 230,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,975 : 107,360.50 = 107,360.50 : x
  2. Step 2: Convert to fraction form
    49,975/107,360.50 = 107,360.50/x
  3. Step 3: Cross multiply
    49,975x = 107,360.50 × 107,360.50
  4. Step 4: Simplify right side
    49,975x = 11,526,276,960.25
  5. Step 5: Solve for x
    x = 11,526,276,960.25/49,975
  6. Step 6: Final answer
    x = 230,640.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.