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Finding the Third Proportional to 48,072 and 104,892

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Solution

The third proportional to 48,072 and 104,892 is: 228,871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 104,892 = 104,892 : x
  2. Step 2: Convert to fraction form
    48,072/104,892 = 104,892/x
  3. Step 3: Cross multiply
    48,072x = 104,892 × 104,892
  4. Step 4: Simplify right side
    48,072x = 11,002,331,664
  5. Step 5: Solve for x
    x = 11,002,331,664/48,072
  6. Step 6: Final answer
    x = 228,871.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.