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Finding the Third Proportional to 48,708.75 and 104,696.25

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Solution

The third proportional to 48,708.75 and 104,696.25 is: 225,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708.75 : 104,696.25 = 104,696.25 : x
  2. Step 2: Convert to fraction form
    48,708.75/104,696.25 = 104,696.25/x
  3. Step 3: Cross multiply
    48,708.75x = 104,696.25 × 104,696.25
  4. Step 4: Simplify right side
    48,708.75x = 10,961,304,764.06
  5. Step 5: Solve for x
    x = 10,961,304,764.06/48,708.75
  6. Step 6: Final answer
    x = 225,037.69

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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.