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Finding the Third Proportional to 48,810 and 104,059

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Solution

The third proportional to 48,810 and 104,059 is: 221,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,810 : 104,059 = 104,059 : x
  2. Step 2: Convert to fraction form
    48,810/104,059 = 104,059/x
  3. Step 3: Cross multiply
    48,810x = 104,059 × 104,059
  4. Step 4: Simplify right side
    48,810x = 10,828,275,481
  5. Step 5: Solve for x
    x = 10,828,275,481/48,810
  6. Step 6: Final answer
    x = 221,845.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.