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Finding the Third Proportional to 106,986 and 160,905

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Solution

The third proportional to 106,986 and 160,905 is: 241,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 160,905 = 160,905 : x
  2. Step 2: Convert to fraction form
    106,986/160,905 = 160,905/x
  3. Step 3: Cross multiply
    106,986x = 160,905 × 160,905
  4. Step 4: Simplify right side
    106,986x = 25,890,419,025
  5. Step 5: Solve for x
    x = 25,890,419,025/106,986
  6. Step 6: Final answer
    x = 241,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.