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Finding the Third Proportional to 118,935 and 169,108

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Solution

The third proportional to 118,935 and 169,108 is: 240,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,935 : 169,108 = 169,108 : x
  2. Step 2: Convert to fraction form
    118,935/169,108 = 169,108/x
  3. Step 3: Cross multiply
    118,935x = 169,108 × 169,108
  4. Step 4: Simplify right side
    118,935x = 28,597,515,664
  5. Step 5: Solve for x
    x = 28,597,515,664/118,935
  6. Step 6: Final answer
    x = 240,446.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.