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Finding the Third Proportional to 71,553 and 108,249

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Solution

The third proportional to 71,553 and 108,249 is: 163,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,553 : 108,249 = 108,249 : x
  2. Step 2: Convert to fraction form
    71,553/108,249 = 108,249/x
  3. Step 3: Cross multiply
    71,553x = 108,249 × 108,249
  4. Step 4: Simplify right side
    71,553x = 11,717,846,001
  5. Step 5: Solve for x
    x = 11,717,846,001/71,553
  6. Step 6: Final answer
    x = 163,764.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.