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Finding the Third Proportional to 47,873 and 104,818

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Solution

The third proportional to 47,873 and 104,818 is: 229,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873 : 104,818 = 104,818 : x
  2. Step 2: Convert to fraction form
    47,873/104,818 = 104,818/x
  3. Step 3: Cross multiply
    47,873x = 104,818 × 104,818
  4. Step 4: Simplify right side
    47,873x = 10,986,813,124
  5. Step 5: Solve for x
    x = 10,986,813,124/47,873
  6. Step 6: Final answer
    x = 229,499.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.