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Finding the Third Proportional to 97,104 and 131,172

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Solution

The third proportional to 97,104 and 131,172 is: 177,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,104 : 131,172 = 131,172 : x
  2. Step 2: Convert to fraction form
    97,104/131,172 = 131,172/x
  3. Step 3: Cross multiply
    97,104x = 131,172 × 131,172
  4. Step 4: Simplify right side
    97,104x = 17,206,093,584
  5. Step 5: Solve for x
    x = 17,206,093,584/97,104
  6. Step 6: Final answer
    x = 177,192.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.