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Finding the Third Proportional to 48,039 and 104,386

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Solution

The third proportional to 48,039 and 104,386 is: 226,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039 : 104,386 = 104,386 : x
  2. Step 2: Convert to fraction form
    48,039/104,386 = 104,386/x
  3. Step 3: Cross multiply
    48,039x = 104,386 × 104,386
  4. Step 4: Simplify right side
    48,039x = 10,896,436,996
  5. Step 5: Solve for x
    x = 10,896,436,996/48,039
  6. Step 6: Final answer
    x = 226,824.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.