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Finding the Third Proportional to 92,720 and 198,559

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Solution

The third proportional to 92,720 and 198,559 is: 425,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,720 : 198,559 = 198,559 : x
  2. Step 2: Convert to fraction form
    92,720/198,559 = 198,559/x
  3. Step 3: Cross multiply
    92,720x = 198,559 × 198,559
  4. Step 4: Simplify right side
    92,720x = 39,425,676,481
  5. Step 5: Solve for x
    x = 39,425,676,481/92,720
  6. Step 6: Final answer
    x = 425,212.21

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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.