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Finding the Third Proportional to 101,817 and 168,720

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Solution

The third proportional to 101,817 and 168,720 is: 279,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817 : 168,720 = 168,720 : x
  2. Step 2: Convert to fraction form
    101,817/168,720 = 168,720/x
  3. Step 3: Cross multiply
    101,817x = 168,720 × 168,720
  4. Step 4: Simplify right side
    101,817x = 28,466,438,400
  5. Step 5: Solve for x
    x = 28,466,438,400/101,817
  6. Step 6: Final answer
    x = 279,584.34

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.