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Finding the Third Proportional to 50,262 and 77,754.75

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Solution

The third proportional to 50,262 and 77,754.75 is: 120,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,262 : 77,754.75 = 77,754.75 : x
  2. Step 2: Convert to fraction form
    50,262/77,754.75 = 77,754.75/x
  3. Step 3: Cross multiply
    50,262x = 77,754.75 × 77,754.75
  4. Step 4: Simplify right side
    50,262x = 6,045,801,147.56
  5. Step 5: Solve for x
    x = 6,045,801,147.56/50,262
  6. Step 6: Final answer
    x = 120,285.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.