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Finding the Third Proportional to 50,042 and 106,772

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Solution

The third proportional to 50,042 and 106,772 is: 227,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042 : 106,772 = 106,772 : x
  2. Step 2: Convert to fraction form
    50,042/106,772 = 106,772/x
  3. Step 3: Cross multiply
    50,042x = 106,772 × 106,772
  4. Step 4: Simplify right side
    50,042x = 11,400,259,984
  5. Step 5: Solve for x
    x = 11,400,259,984/50,042
  6. Step 6: Final answer
    x = 227,813.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.