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Finding the Third Proportional to 31,544 and 68,920

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Solution

The third proportional to 31,544 and 68,920 is: 150,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544 : 68,920 = 68,920 : x
  2. Step 2: Convert to fraction form
    31,544/68,920 = 68,920/x
  3. Step 3: Cross multiply
    31,544x = 68,920 × 68,920
  4. Step 4: Simplify right side
    31,544x = 4,749,966,400
  5. Step 5: Solve for x
    x = 4,749,966,400/31,544
  6. Step 6: Final answer
    x = 150,582.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.