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Finding the Third Proportional to 48,072 and 104,252

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Solution

The third proportional to 48,072 and 104,252 is: 226,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 104,252 = 104,252 : x
  2. Step 2: Convert to fraction form
    48,072/104,252 = 104,252/x
  3. Step 3: Cross multiply
    48,072x = 104,252 × 104,252
  4. Step 4: Simplify right side
    48,072x = 10,868,479,504
  5. Step 5: Solve for x
    x = 10,868,479,504/48,072
  6. Step 6: Final answer
    x = 226,087.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.