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Finding the Third Proportional to 44,090 and 103,954

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Solution

The third proportional to 44,090 and 103,954 is: 245,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,090 : 103,954 = 103,954 : x
  2. Step 2: Convert to fraction form
    44,090/103,954 = 103,954/x
  3. Step 3: Cross multiply
    44,090x = 103,954 × 103,954
  4. Step 4: Simplify right side
    44,090x = 10,806,434,116
  5. Step 5: Solve for x
    x = 10,806,434,116/44,090
  6. Step 6: Final answer
    x = 245,099.44

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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.