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Finding the Third Proportional to 43,951 and 103,655

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Solution

The third proportional to 43,951 and 103,655 is: 244,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,951 : 103,655 = 103,655 : x
  2. Step 2: Convert to fraction form
    43,951/103,655 = 103,655/x
  3. Step 3: Cross multiply
    43,951x = 103,655 × 103,655
  4. Step 4: Simplify right side
    43,951x = 10,744,359,025
  5. Step 5: Solve for x
    x = 10,744,359,025/43,951
  6. Step 6: Final answer
    x = 244,462.22

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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.