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Finding the Third Proportional to 48,728 and 101,144

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Solution

The third proportional to 48,728 and 101,144 is: 209,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,728 : 101,144 = 101,144 : x
  2. Step 2: Convert to fraction form
    48,728/101,144 = 101,144/x
  3. Step 3: Cross multiply
    48,728x = 101,144 × 101,144
  4. Step 4: Simplify right side
    48,728x = 10,230,108,736
  5. Step 5: Solve for x
    x = 10,230,108,736/48,728
  6. Step 6: Final answer
    x = 209,943.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.