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Finding the Third Proportional to 49,962 and 107,334.75

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Solution

The third proportional to 49,962 and 107,334.75 is: 230,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,962 : 107,334.75 = 107,334.75 : x
  2. Step 2: Convert to fraction form
    49,962/107,334.75 = 107,334.75/x
  3. Step 3: Cross multiply
    49,962x = 107,334.75 × 107,334.75
  4. Step 4: Simplify right side
    49,962x = 11,520,748,557.56
  5. Step 5: Solve for x
    x = 11,520,748,557.56/49,962
  6. Step 6: Final answer
    x = 230,590.22

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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.