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Finding the Third Proportional to 49,772.25 and 107,847

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Solution

The third proportional to 49,772.25 and 107,847 is: 233,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.25 : 107,847 = 107,847 : x
  2. Step 2: Convert to fraction form
    49,772.25/107,847 = 107,847/x
  3. Step 3: Cross multiply
    49,772.25x = 107,847 × 107,847
  4. Step 4: Simplify right side
    49,772.25x = 11,630,975,409
  5. Step 5: Solve for x
    x = 11,630,975,409/49,772.25
  6. Step 6: Final answer
    x = 233,683.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.