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Finding the Third Proportional to 106,960 and 169,512

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Solution

The third proportional to 106,960 and 169,512 is: 268,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 169,512 = 169,512 : x
  2. Step 2: Convert to fraction form
    106,960/169,512 = 169,512/x
  3. Step 3: Cross multiply
    106,960x = 169,512 × 169,512
  4. Step 4: Simplify right side
    106,960x = 28,734,318,144
  5. Step 5: Solve for x
    x = 28,734,318,144/106,960
  6. Step 6: Final answer
    x = 268,645.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.