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Finding the Third Proportional to 31,598 and 73,151

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Solution

The third proportional to 31,598 and 73,151 is: 169,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598 : 73,151 = 73,151 : x
  2. Step 2: Convert to fraction form
    31,598/73,151 = 73,151/x
  3. Step 3: Cross multiply
    31,598x = 73,151 × 73,151
  4. Step 4: Simplify right side
    31,598x = 5,351,068,801
  5. Step 5: Solve for x
    x = 5,351,068,801/31,598
  6. Step 6: Final answer
    x = 169,348.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.