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Finding the Third Proportional to 48,132 and 71,799

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Solution

The third proportional to 48,132 and 71,799 is: 107,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,132 : 71,799 = 71,799 : x
  2. Step 2: Convert to fraction form
    48,132/71,799 = 71,799/x
  3. Step 3: Cross multiply
    48,132x = 71,799 × 71,799
  4. Step 4: Simplify right side
    48,132x = 5,155,096,401
  5. Step 5: Solve for x
    x = 5,155,096,401/48,132
  6. Step 6: Final answer
    x = 107,103.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.