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Finding the Third Proportional to 50,553 and 109,489.50

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Solution

The third proportional to 50,553 and 109,489.50 is: 237,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,553 : 109,489.50 = 109,489.50 : x
  2. Step 2: Convert to fraction form
    50,553/109,489.50 = 109,489.50/x
  3. Step 3: Cross multiply
    50,553x = 109,489.50 × 109,489.50
  4. Step 4: Simplify right side
    50,553x = 11,987,950,610.25
  5. Step 5: Solve for x
    x = 11,987,950,610.25/50,553
  6. Step 6: Final answer
    x = 237,136.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.