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Finding the Third Proportional to 42,865 and 92,858

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Solution

The third proportional to 42,865 and 92,858 is: 201,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,865 : 92,858 = 92,858 : x
  2. Step 2: Convert to fraction form
    42,865/92,858 = 92,858/x
  3. Step 3: Cross multiply
    42,865x = 92,858 × 92,858
  4. Step 4: Simplify right side
    42,865x = 8,622,608,164
  5. Step 5: Solve for x
    x = 8,622,608,164/42,865
  6. Step 6: Final answer
    x = 201,157.31

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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.