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Finding the Third Proportional to 31,194 and 67,718

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Solution

The third proportional to 31,194 and 67,718 is: 147,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194 : 67,718 = 67,718 : x
  2. Step 2: Convert to fraction form
    31,194/67,718 = 67,718/x
  3. Step 3: Cross multiply
    31,194x = 67,718 × 67,718
  4. Step 4: Simplify right side
    31,194x = 4,585,727,524
  5. Step 5: Solve for x
    x = 4,585,727,524/31,194
  6. Step 6: Final answer
    x = 147,006.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.