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Finding the Third Proportional to 42,869 and 92,893

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Solution

The third proportional to 42,869 and 92,893 is: 201,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,869 : 92,893 = 92,893 : x
  2. Step 2: Convert to fraction form
    42,869/92,893 = 92,893/x
  3. Step 3: Cross multiply
    42,869x = 92,893 × 92,893
  4. Step 4: Simplify right side
    42,869x = 8,629,109,449
  5. Step 5: Solve for x
    x = 8,629,109,449/42,869
  6. Step 6: Final answer
    x = 201,290.20

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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.