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Finding the Third Proportional to 50,010.75 and 118,049.06

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Solution

The third proportional to 50,010.75 and 118,049.06 is: 278,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,010.75 : 118,049.06 = 118,049.06 : x
  2. Step 2: Convert to fraction form
    50,010.75/118,049.06 = 118,049.06/x
  3. Step 3: Cross multiply
    50,010.75x = 118,049.06 × 118,049.06
  4. Step 4: Simplify right side
    50,010.75x = 13,935,581,157.13
  5. Step 5: Solve for x
    x = 13,935,581,157.13/50,010.75
  6. Step 6: Final answer
    x = 278,651.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.