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Finding the Third Proportional to 50,718 and 76,077

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Solution

The third proportional to 50,718 and 76,077 is: 114,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718 : 76,077 = 76,077 : x
  2. Step 2: Convert to fraction form
    50,718/76,077 = 76,077/x
  3. Step 3: Cross multiply
    50,718x = 76,077 × 76,077
  4. Step 4: Simplify right side
    50,718x = 5,787,709,929
  5. Step 5: Solve for x
    x = 5,787,709,929/50,718
  6. Step 6: Final answer
    x = 114,115.50

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1.5x scale

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.