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Finding the Third Proportional to 50,722 and 108,478

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Solution

The third proportional to 50,722 and 108,478 is: 231,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722 : 108,478 = 108,478 : x
  2. Step 2: Convert to fraction form
    50,722/108,478 = 108,478/x
  3. Step 3: Cross multiply
    50,722x = 108,478 × 108,478
  4. Step 4: Simplify right side
    50,722x = 11,767,476,484
  5. Step 5: Solve for x
    x = 11,767,476,484/50,722
  6. Step 6: Final answer
    x = 231,999.46

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