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Finding the Third Proportional to 44,036 and 103,904

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Solution

The third proportional to 44,036 and 103,904 is: 245,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,036 : 103,904 = 103,904 : x
  2. Step 2: Convert to fraction form
    44,036/103,904 = 103,904/x
  3. Step 3: Cross multiply
    44,036x = 103,904 × 103,904
  4. Step 4: Simplify right side
    44,036x = 10,796,041,216
  5. Step 5: Solve for x
    x = 10,796,041,216/44,036
  6. Step 6: Final answer
    x = 245,163.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.