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Finding the Third Proportional to 92,172.75 and 193,620

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Solution

The third proportional to 92,172.75 and 193,620 is: 406,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,172.75 : 193,620 = 193,620 : x
  2. Step 2: Convert to fraction form
    92,172.75/193,620 = 193,620/x
  3. Step 3: Cross multiply
    92,172.75x = 193,620 × 193,620
  4. Step 4: Simplify right side
    92,172.75x = 37,488,704,400
  5. Step 5: Solve for x
    x = 37,488,704,400/92,172.75
  6. Step 6: Final answer
    x = 406,722.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.