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Finding the Third Proportional to 34,077 and 70,908

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Solution

The third proportional to 34,077 and 70,908 is: 147,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077 : 70,908 = 70,908 : x
  2. Step 2: Convert to fraction form
    34,077/70,908 = 70,908/x
  3. Step 3: Cross multiply
    34,077x = 70,908 × 70,908
  4. Step 4: Simplify right side
    34,077x = 5,027,944,464
  5. Step 5: Solve for x
    x = 5,027,944,464/34,077
  6. Step 6: Final answer
    x = 147,546.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.