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Finding the Third Proportional to 31,746 and 68,271

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Solution

The third proportional to 31,746 and 68,271 is: 146,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746 : 68,271 = 68,271 : x
  2. Step 2: Convert to fraction form
    31,746/68,271 = 68,271/x
  3. Step 3: Cross multiply
    31,746x = 68,271 × 68,271
  4. Step 4: Simplify right side
    31,746x = 4,660,929,441
  5. Step 5: Solve for x
    x = 4,660,929,441/31,746
  6. Step 6: Final answer
    x = 146,819.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.