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Finding the Third Proportional to 43,854 and 96,644

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Solution

The third proportional to 43,854 and 96,644 is: 212,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,854 : 96,644 = 96,644 : x
  2. Step 2: Convert to fraction form
    43,854/96,644 = 96,644/x
  3. Step 3: Cross multiply
    43,854x = 96,644 × 96,644
  4. Step 4: Simplify right side
    43,854x = 9,340,062,736
  5. Step 5: Solve for x
    x = 9,340,062,736/43,854
  6. Step 6: Final answer
    x = 212,980.86

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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.