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Finding the Third Proportional to 49,242 and 73,786

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Solution

The third proportional to 49,242 and 73,786 is: 110,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242 : 73,786 = 73,786 : x
  2. Step 2: Convert to fraction form
    49,242/73,786 = 73,786/x
  3. Step 3: Cross multiply
    49,242x = 73,786 × 73,786
  4. Step 4: Simplify right side
    49,242x = 5,444,373,796
  5. Step 5: Solve for x
    x = 5,444,373,796/49,242
  6. Step 6: Final answer
    x = 110,563.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.