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Finding the Third Proportional to 50,993 and 73,445

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Solution

The third proportional to 50,993 and 73,445 is: 105,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,993 : 73,445 = 73,445 : x
  2. Step 2: Convert to fraction form
    50,993/73,445 = 73,445/x
  3. Step 3: Cross multiply
    50,993x = 73,445 × 73,445
  4. Step 4: Simplify right side
    50,993x = 5,394,168,025
  5. Step 5: Solve for x
    x = 5,394,168,025/50,993
  6. Step 6: Final answer
    x = 105,782.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.