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Finding the Third Proportional to 42,805 and 92,199

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Solution

The third proportional to 42,805 and 92,199 is: 198,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805 : 92,199 = 92,199 : x
  2. Step 2: Convert to fraction form
    42,805/92,199 = 92,199/x
  3. Step 3: Cross multiply
    42,805x = 92,199 × 92,199
  4. Step 4: Simplify right side
    42,805x = 8,500,655,601
  5. Step 5: Solve for x
    x = 8,500,655,601/42,805
  6. Step 6: Final answer
    x = 198,590.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.