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Finding the Third Proportional to 71,694 and 108,512

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Solution

The third proportional to 71,694 and 108,512 is: 164,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 108,512 = 108,512 : x
  2. Step 2: Convert to fraction form
    71,694/108,512 = 108,512/x
  3. Step 3: Cross multiply
    71,694x = 108,512 × 108,512
  4. Step 4: Simplify right side
    71,694x = 11,774,854,144
  5. Step 5: Solve for x
    x = 11,774,854,144/71,694
  6. Step 6: Final answer
    x = 164,237.65

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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.