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Finding the Third Proportional to 49,132 and 73,943

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Solution

The third proportional to 49,132 and 73,943 is: 111,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132 : 73,943 = 73,943 : x
  2. Step 2: Convert to fraction form
    49,132/73,943 = 73,943/x
  3. Step 3: Cross multiply
    49,132x = 73,943 × 73,943
  4. Step 4: Simplify right side
    49,132x = 5,467,567,249
  5. Step 5: Solve for x
    x = 5,467,567,249/49,132
  6. Step 6: Final answer
    x = 111,283.22

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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.