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Finding the Third Proportional to 50,143.22 and 110,127.09

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Solution

The third proportional to 50,143.22 and 110,127.09 is: 241,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,143.22 : 110,127.09 = 110,127.09 : x
  2. Step 2: Convert to fraction form
    50,143.22/110,127.09 = 110,127.09/x
  3. Step 3: Cross multiply
    50,143.22x = 110,127.09 × 110,127.09
  4. Step 4: Simplify right side
    50,143.22x = 12,127,976,777.82
  5. Step 5: Solve for x
    x = 12,127,976,777.82/50,143.22
  6. Step 6: Final answer
    x = 241,866.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.