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Finding the Third Proportional to 92,838 and 190,592

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Solution

The third proportional to 92,838 and 190,592 is: 391,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,838 : 190,592 = 190,592 : x
  2. Step 2: Convert to fraction form
    92,838/190,592 = 190,592/x
  3. Step 3: Cross multiply
    92,838x = 190,592 × 190,592
  4. Step 4: Simplify right side
    92,838x = 36,325,310,464
  5. Step 5: Solve for x
    x = 36,325,310,464/92,838
  6. Step 6: Final answer
    x = 391,276.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.