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Finding the Third Proportional to 50,710 and 110,005

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Solution

The third proportional to 50,710 and 110,005 is: 238,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,710 : 110,005 = 110,005 : x
  2. Step 2: Convert to fraction form
    50,710/110,005 = 110,005/x
  3. Step 3: Cross multiply
    50,710x = 110,005 × 110,005
  4. Step 4: Simplify right side
    50,710x = 12,101,100,025
  5. Step 5: Solve for x
    x = 12,101,100,025/50,710
  6. Step 6: Final answer
    x = 238,633.41

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Why These Related Problems?

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