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Finding the Third Proportional to 115,954 and 169,009

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Solution

The third proportional to 115,954 and 169,009 is: 246,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,954 : 169,009 = 169,009 : x
  2. Step 2: Convert to fraction form
    115,954/169,009 = 169,009/x
  3. Step 3: Cross multiply
    115,954x = 169,009 × 169,009
  4. Step 4: Simplify right side
    115,954x = 28,564,042,081
  5. Step 5: Solve for x
    x = 28,564,042,081/115,954
  6. Step 6: Final answer
    x = 246,339.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.