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Finding the Third Proportional to 92,016 and 129,544

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Solution

The third proportional to 92,016 and 129,544 is: 182,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,016 : 129,544 = 129,544 : x
  2. Step 2: Convert to fraction form
    92,016/129,544 = 129,544/x
  3. Step 3: Cross multiply
    92,016x = 129,544 × 129,544
  4. Step 4: Simplify right side
    92,016x = 16,781,647,936
  5. Step 5: Solve for x
    x = 16,781,647,936/92,016
  6. Step 6: Final answer
    x = 182,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.