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Finding the Third Proportional to 49,934.25 and 107,212.50

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Solution

The third proportional to 49,934.25 and 107,212.50 is: 230,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,934.25 : 107,212.50 = 107,212.50 : x
  2. Step 2: Convert to fraction form
    49,934.25/107,212.50 = 107,212.50/x
  3. Step 3: Cross multiply
    49,934.25x = 107,212.50 × 107,212.50
  4. Step 4: Simplify right side
    49,934.25x = 11,494,520,156.25
  5. Step 5: Solve for x
    x = 11,494,520,156.25/49,934.25
  6. Step 6: Final answer
    x = 230,193.11

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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.