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Finding the Third Proportional to 31,873 and 62,954

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Solution

The third proportional to 31,873 and 62,954 is: 124,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,873 : 62,954 = 62,954 : x
  2. Step 2: Convert to fraction form
    31,873/62,954 = 62,954/x
  3. Step 3: Cross multiply
    31,873x = 62,954 × 62,954
  4. Step 4: Simplify right side
    31,873x = 3,963,206,116
  5. Step 5: Solve for x
    x = 3,963,206,116/31,873
  6. Step 6: Final answer
    x = 124,343.68

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.