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Finding the Third Proportional to 50,942 and 110,642

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Solution

The third proportional to 50,942 and 110,642 is: 240,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942 : 110,642 = 110,642 : x
  2. Step 2: Convert to fraction form
    50,942/110,642 = 110,642/x
  3. Step 3: Cross multiply
    50,942x = 110,642 × 110,642
  4. Step 4: Simplify right side
    50,942x = 12,241,652,164
  5. Step 5: Solve for x
    x = 12,241,652,164/50,942
  6. Step 6: Final answer
    x = 240,305.68

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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.