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Finding the Third Proportional to 48,696 and 104,790

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Solution

The third proportional to 48,696 and 104,790 is: 225,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 104,790 = 104,790 : x
  2. Step 2: Convert to fraction form
    48,696/104,790 = 104,790/x
  3. Step 3: Cross multiply
    48,696x = 104,790 × 104,790
  4. Step 4: Simplify right side
    48,696x = 10,980,944,100
  5. Step 5: Solve for x
    x = 10,980,944,100/48,696
  6. Step 6: Final answer
    x = 225,499.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.