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Finding the Third Proportional to 31,942 and 74,606

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Solution

The third proportional to 31,942 and 74,606 is: 174,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,942 : 74,606 = 74,606 : x
  2. Step 2: Convert to fraction form
    31,942/74,606 = 74,606/x
  3. Step 3: Cross multiply
    31,942x = 74,606 × 74,606
  4. Step 4: Simplify right side
    31,942x = 5,566,055,236
  5. Step 5: Solve for x
    x = 5,566,055,236/31,942
  6. Step 6: Final answer
    x = 174,255.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.