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Finding the Third Proportional to 37,058 and 81,497.25

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Solution

The third proportional to 37,058 and 81,497.25 is: 179,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,058 : 81,497.25 = 81,497.25 : x
  2. Step 2: Convert to fraction form
    37,058/81,497.25 = 81,497.25/x
  3. Step 3: Cross multiply
    37,058x = 81,497.25 × 81,497.25
  4. Step 4: Simplify right side
    37,058x = 6,641,801,757.56
  5. Step 5: Solve for x
    x = 6,641,801,757.56/37,058
  6. Step 6: Final answer
    x = 179,227.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.