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Finding the Third Proportional to 50,024 and 76,306

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Solution

The third proportional to 50,024 and 76,306 is: 116,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 76,306 = 76,306 : x
  2. Step 2: Convert to fraction form
    50,024/76,306 = 76,306/x
  3. Step 3: Cross multiply
    50,024x = 76,306 × 76,306
  4. Step 4: Simplify right side
    50,024x = 5,822,605,636
  5. Step 5: Solve for x
    x = 5,822,605,636/50,024
  6. Step 6: Final answer
    x = 116,396.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.