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Finding the Third Proportional to 45,221 and 96,672

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Solution

The third proportional to 45,221 and 96,672 is: 206,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,221 : 96,672 = 96,672 : x
  2. Step 2: Convert to fraction form
    45,221/96,672 = 96,672/x
  3. Step 3: Cross multiply
    45,221x = 96,672 × 96,672
  4. Step 4: Simplify right side
    45,221x = 9,345,475,584
  5. Step 5: Solve for x
    x = 9,345,475,584/45,221
  6. Step 6: Final answer
    x = 206,662.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.