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Finding the Third Proportional to 101,065 and 168,427

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Solution

The third proportional to 101,065 and 168,427 is: 280,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065 : 168,427 = 168,427 : x
  2. Step 2: Convert to fraction form
    101,065/168,427 = 168,427/x
  3. Step 3: Cross multiply
    101,065x = 168,427 × 168,427
  4. Step 4: Simplify right side
    101,065x = 28,367,654,329
  5. Step 5: Solve for x
    x = 28,367,654,329/101,065
  6. Step 6: Final answer
    x = 280,687.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.