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Finding the Third Proportional to 50,142 and 106,782

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Solution

The third proportional to 50,142 and 106,782 is: 227,402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142 : 106,782 = 106,782 : x
  2. Step 2: Convert to fraction form
    50,142/106,782 = 106,782/x
  3. Step 3: Cross multiply
    50,142x = 106,782 × 106,782
  4. Step 4: Simplify right side
    50,142x = 11,402,395,524
  5. Step 5: Solve for x
    x = 11,402,395,524/50,142
  6. Step 6: Final answer
    x = 227,402.09

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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.