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Finding the Third Proportional to 43,944 and 96,636

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Solution

The third proportional to 43,944 and 96,636 is: 212,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,944 : 96,636 = 96,636 : x
  2. Step 2: Convert to fraction form
    43,944/96,636 = 96,636/x
  3. Step 3: Cross multiply
    43,944x = 96,636 × 96,636
  4. Step 4: Simplify right side
    43,944x = 9,338,516,496
  5. Step 5: Solve for x
    x = 9,338,516,496/43,944
  6. Step 6: Final answer
    x = 212,509.48

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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.