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Finding the Third Proportional to 50,525 and 109,900

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Solution

The third proportional to 50,525 and 109,900 is: 239,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,525 : 109,900 = 109,900 : x
  2. Step 2: Convert to fraction form
    50,525/109,900 = 109,900/x
  3. Step 3: Cross multiply
    50,525x = 109,900 × 109,900
  4. Step 4: Simplify right side
    50,525x = 12,078,010,000
  5. Step 5: Solve for x
    x = 12,078,010,000/50,525
  6. Step 6: Final answer
    x = 239,050.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.