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Finding the Third Proportional to 31,212 and 67,606

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Solution

The third proportional to 31,212 and 67,606 is: 146,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212 : 67,606 = 67,606 : x
  2. Step 2: Convert to fraction form
    31,212/67,606 = 67,606/x
  3. Step 3: Cross multiply
    31,212x = 67,606 × 67,606
  4. Step 4: Simplify right side
    31,212x = 4,570,571,236
  5. Step 5: Solve for x
    x = 4,570,571,236/31,212
  6. Step 6: Final answer
    x = 146,436.35

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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.