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Finding the Third Proportional to 42,192 and 59,256

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Solution

The third proportional to 42,192 and 59,256 is: 83,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,192 : 59,256 = 59,256 : x
  2. Step 2: Convert to fraction form
    42,192/59,256 = 59,256/x
  3. Step 3: Cross multiply
    42,192x = 59,256 × 59,256
  4. Step 4: Simplify right side
    42,192x = 3,511,273,536
  5. Step 5: Solve for x
    x = 3,511,273,536/42,192
  6. Step 6: Final answer
    x = 83,221.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.