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Finding the Third Proportional to 50,145 and 110,132

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Solution

The third proportional to 50,145 and 110,132 is: 241,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,145 : 110,132 = 110,132 : x
  2. Step 2: Convert to fraction form
    50,145/110,132 = 110,132/x
  3. Step 3: Cross multiply
    50,145x = 110,132 × 110,132
  4. Step 4: Simplify right side
    50,145x = 12,129,057,424
  5. Step 5: Solve for x
    x = 12,129,057,424/50,145
  6. Step 6: Final answer
    x = 241,879.70

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