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Finding the Third Proportional to 48,758 and 104,914

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Solution

The third proportional to 48,758 and 104,914 is: 225,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,758 : 104,914 = 104,914 : x
  2. Step 2: Convert to fraction form
    48,758/104,914 = 104,914/x
  3. Step 3: Cross multiply
    48,758x = 104,914 × 104,914
  4. Step 4: Simplify right side
    48,758x = 11,006,947,396
  5. Step 5: Solve for x
    x = 11,006,947,396/48,758
  6. Step 6: Final answer
    x = 225,746.49

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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.