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Finding the Third Proportional to 50,146 and 110,133

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Solution

The third proportional to 50,146 and 110,133 is: 241,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,146 : 110,133 = 110,133 : x
  2. Step 2: Convert to fraction form
    50,146/110,133 = 110,133/x
  3. Step 3: Cross multiply
    50,146x = 110,133 × 110,133
  4. Step 4: Simplify right side
    50,146x = 12,129,277,689
  5. Step 5: Solve for x
    x = 12,129,277,689/50,146
  6. Step 6: Final answer
    x = 241,879.27

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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.