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Finding the Third Proportional to 31,478 and 68,122

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Solution

The third proportional to 31,478 and 68,122 is: 147,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478 : 68,122 = 68,122 : x
  2. Step 2: Convert to fraction form
    31,478/68,122 = 68,122/x
  3. Step 3: Cross multiply
    31,478x = 68,122 × 68,122
  4. Step 4: Simplify right side
    31,478x = 4,640,606,884
  5. Step 5: Solve for x
    x = 4,640,606,884/31,478
  6. Step 6: Final answer
    x = 147,423.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.