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Finding the Third Proportional to 48,861 and 73,701

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Solution

The third proportional to 48,861 and 73,701 is: 111,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,861 : 73,701 = 73,701 : x
  2. Step 2: Convert to fraction form
    48,861/73,701 = 73,701/x
  3. Step 3: Cross multiply
    48,861x = 73,701 × 73,701
  4. Step 4: Simplify right side
    48,861x = 5,431,837,401
  5. Step 5: Solve for x
    x = 5,431,837,401/48,861
  6. Step 6: Final answer
    x = 111,169.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.