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Finding the Third Proportional to 50,228 and 73,830

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Solution

The third proportional to 50,228 and 73,830 is: 108,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,228 : 73,830 = 73,830 : x
  2. Step 2: Convert to fraction form
    50,228/73,830 = 73,830/x
  3. Step 3: Cross multiply
    50,228x = 73,830 × 73,830
  4. Step 4: Simplify right side
    50,228x = 5,450,868,900
  5. Step 5: Solve for x
    x = 5,450,868,900/50,228
  6. Step 6: Final answer
    x = 108,522.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.