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Finding the Third Proportional to 50,728 and 108,490

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Solution

The third proportional to 50,728 and 108,490 is: 232,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,728 : 108,490 = 108,490 : x
  2. Step 2: Convert to fraction form
    50,728/108,490 = 108,490/x
  3. Step 3: Cross multiply
    50,728x = 108,490 × 108,490
  4. Step 4: Simplify right side
    50,728x = 11,770,080,100
  5. Step 5: Solve for x
    x = 11,770,080,100/50,728
  6. Step 6: Final answer
    x = 232,023.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.