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Finding the Third Proportional to 41,920 and 88,682

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Solution

The third proportional to 41,920 and 88,682 is: 187,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,920 : 88,682 = 88,682 : x
  2. Step 2: Convert to fraction form
    41,920/88,682 = 88,682/x
  3. Step 3: Cross multiply
    41,920x = 88,682 × 88,682
  4. Step 4: Simplify right side
    41,920x = 7,864,497,124
  5. Step 5: Solve for x
    x = 7,864,497,124/41,920
  6. Step 6: Final answer
    x = 187,607.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.