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Finding the Third Proportional to 48,831 and 104,574

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Solution

The third proportional to 48,831 and 104,574 is: 223,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,831 : 104,574 = 104,574 : x
  2. Step 2: Convert to fraction form
    48,831/104,574 = 104,574/x
  3. Step 3: Cross multiply
    48,831x = 104,574 × 104,574
  4. Step 4: Simplify right side
    48,831x = 10,935,721,476
  5. Step 5: Solve for x
    x = 10,935,721,476/48,831
  6. Step 6: Final answer
    x = 223,950.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.