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Finding the Third Proportional to 106,186 and 160,100

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Solution

The third proportional to 106,186 and 160,100 is: 241,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,186 : 160,100 = 160,100 : x
  2. Step 2: Convert to fraction form
    106,186/160,100 = 160,100/x
  3. Step 3: Cross multiply
    106,186x = 160,100 × 160,100
  4. Step 4: Simplify right side
    106,186x = 25,632,010,000
  5. Step 5: Solve for x
    x = 25,632,010,000/106,186
  6. Step 6: Final answer
    x = 241,387.85

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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.