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Finding the Third Proportional to 50,244 and 107,772

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Solution

The third proportional to 50,244 and 107,772 is: 231,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244 : 107,772 = 107,772 : x
  2. Step 2: Convert to fraction form
    50,244/107,772 = 107,772/x
  3. Step 3: Cross multiply
    50,244x = 107,772 × 107,772
  4. Step 4: Simplify right side
    50,244x = 11,614,803,984
  5. Step 5: Solve for x
    x = 11,614,803,984/50,244
  6. Step 6: Final answer
    x = 231,167.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.