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Finding the Third Proportional to 71,599 and 109,282

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Solution

The third proportional to 71,599 and 109,282 is: 166,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,599 : 109,282 = 109,282 : x
  2. Step 2: Convert to fraction form
    71,599/109,282 = 109,282/x
  3. Step 3: Cross multiply
    71,599x = 109,282 × 109,282
  4. Step 4: Simplify right side
    71,599x = 11,942,555,524
  5. Step 5: Solve for x
    x = 11,942,555,524/71,599
  6. Step 6: Final answer
    x = 166,797.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.