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Finding the Third Proportional to 50,532 and 103,978

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Solution

The third proportional to 50,532 and 103,978 is: 213,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,532 : 103,978 = 103,978 : x
  2. Step 2: Convert to fraction form
    50,532/103,978 = 103,978/x
  3. Step 3: Cross multiply
    50,532x = 103,978 × 103,978
  4. Step 4: Simplify right side
    50,532x = 10,811,424,484
  5. Step 5: Solve for x
    x = 10,811,424,484/50,532
  6. Step 6: Final answer
    x = 213,952.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.