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Finding the Third Proportional to 42,858 and 95,652

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Solution

The third proportional to 42,858 and 95,652 is: 213,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858 : 95,652 = 95,652 : x
  2. Step 2: Convert to fraction form
    42,858/95,652 = 95,652/x
  3. Step 3: Cross multiply
    42,858x = 95,652 × 95,652
  4. Step 4: Simplify right side
    42,858x = 9,149,305,104
  5. Step 5: Solve for x
    x = 9,149,305,104/42,858
  6. Step 6: Final answer
    x = 213,479.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.