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Finding the Third Proportional to 44,103 and 96,954

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Solution

The third proportional to 44,103 and 96,954 is: 213,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,103 : 96,954 = 96,954 : x
  2. Step 2: Convert to fraction form
    44,103/96,954 = 96,954/x
  3. Step 3: Cross multiply
    44,103x = 96,954 × 96,954
  4. Step 4: Simplify right side
    44,103x = 9,400,078,116
  5. Step 5: Solve for x
    x = 9,400,078,116/44,103
  6. Step 6: Final answer
    x = 213,139.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.