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Finding the Third Proportional to 50,419.75 and 110,009

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Solution

The third proportional to 50,419.75 and 110,009 is: 240,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,419.75 : 110,009 = 110,009 : x
  2. Step 2: Convert to fraction form
    50,419.75/110,009 = 110,009/x
  3. Step 3: Cross multiply
    50,419.75x = 110,009 × 110,009
  4. Step 4: Simplify right side
    50,419.75x = 12,101,980,081
  5. Step 5: Solve for x
    x = 12,101,980,081/50,419.75
  6. Step 6: Final answer
    x = 240,024.60

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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.