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Finding the Third Proportional to 50,715 and 76,081.50

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Solution

The third proportional to 50,715 and 76,081.50 is: 114,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,715 : 76,081.50 = 76,081.50 : x
  2. Step 2: Convert to fraction form
    50,715/76,081.50 = 76,081.50/x
  3. Step 3: Cross multiply
    50,715x = 76,081.50 × 76,081.50
  4. Step 4: Simplify right side
    50,715x = 5,788,394,642.25
  5. Step 5: Solve for x
    x = 5,788,394,642.25/50,715
  6. Step 6: Final answer
    x = 114,135.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.