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Finding the Third Proportional to 50,057 and 108,826

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Solution

The third proportional to 50,057 and 108,826 is: 236,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,057 : 108,826 = 108,826 : x
  2. Step 2: Convert to fraction form
    50,057/108,826 = 108,826/x
  3. Step 3: Cross multiply
    50,057x = 108,826 × 108,826
  4. Step 4: Simplify right side
    50,057x = 11,843,098,276
  5. Step 5: Solve for x
    x = 11,843,098,276/50,057
  6. Step 6: Final answer
    x = 236,592.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.