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Finding the Third Proportional to 92,720 and 198,567

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Solution

The third proportional to 92,720 and 198,567 is: 425,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,720 : 198,567 = 198,567 : x
  2. Step 2: Convert to fraction form
    92,720/198,567 = 198,567/x
  3. Step 3: Cross multiply
    92,720x = 198,567 × 198,567
  4. Step 4: Simplify right side
    92,720x = 39,428,853,489
  5. Step 5: Solve for x
    x = 39,428,853,489/92,720
  6. Step 6: Final answer
    x = 425,246.48

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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.