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Finding the Third Proportional to 92,720 and 198,568

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Solution

The third proportional to 92,720 and 198,568 is: 425,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,720 : 198,568 = 198,568 : x
  2. Step 2: Convert to fraction form
    92,720/198,568 = 198,568/x
  3. Step 3: Cross multiply
    92,720x = 198,568 × 198,568
  4. Step 4: Simplify right side
    92,720x = 39,429,250,624
  5. Step 5: Solve for x
    x = 39,429,250,624/92,720
  6. Step 6: Final answer
    x = 425,250.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.