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Finding the Third Proportional to 31,960 and 68,324

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Solution

The third proportional to 31,960 and 68,324 is: 146,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960 : 68,324 = 68,324 : x
  2. Step 2: Convert to fraction form
    31,960/68,324 = 68,324/x
  3. Step 3: Cross multiply
    31,960x = 68,324 × 68,324
  4. Step 4: Simplify right side
    31,960x = 4,668,168,976
  5. Step 5: Solve for x
    x = 4,668,168,976/31,960
  6. Step 6: Final answer
    x = 146,062.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.