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Finding the Third Proportional to 37,077 and 76,745

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Solution

The third proportional to 37,077 and 76,745 is: 158,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077 : 76,745 = 76,745 : x
  2. Step 2: Convert to fraction form
    37,077/76,745 = 76,745/x
  3. Step 3: Cross multiply
    37,077x = 76,745 × 76,745
  4. Step 4: Simplify right side
    37,077x = 5,889,795,025
  5. Step 5: Solve for x
    x = 5,889,795,025/37,077
  6. Step 6: Final answer
    x = 158,853.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.