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Finding the Third Proportional to 106,226 and 160,161

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Solution

The third proportional to 106,226 and 160,161 is: 241,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,226 : 160,161 = 160,161 : x
  2. Step 2: Convert to fraction form
    106,226/160,161 = 160,161/x
  3. Step 3: Cross multiply
    106,226x = 160,161 × 160,161
  4. Step 4: Simplify right side
    106,226x = 25,651,545,921
  5. Step 5: Solve for x
    x = 25,651,545,921/106,226
  6. Step 6: Final answer
    x = 241,480.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.