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Finding the Third Proportional to 48,494 and 101,727

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Solution

The third proportional to 48,494 and 101,727 is: 213,395.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,494 : 101,727 = 101,727 : x
  2. Step 2: Convert to fraction form
    48,494/101,727 = 101,727/x
  3. Step 3: Cross multiply
    48,494x = 101,727 × 101,727
  4. Step 4: Simplify right side
    48,494x = 10,348,382,529
  5. Step 5: Solve for x
    x = 10,348,382,529/48,494
  6. Step 6: Final answer
    x = 213,395.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.