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Finding the Third Proportional to 42,736 and 92,843

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Solution

The third proportional to 42,736 and 92,843 is: 201,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,736 : 92,843 = 92,843 : x
  2. Step 2: Convert to fraction form
    42,736/92,843 = 92,843/x
  3. Step 3: Cross multiply
    42,736x = 92,843 × 92,843
  4. Step 4: Simplify right side
    42,736x = 8,619,822,649
  5. Step 5: Solve for x
    x = 8,619,822,649/42,736
  6. Step 6: Final answer
    x = 201,699.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.